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Factoring polynomials grade 8 pdf


Intermediate Algebra Skill Factoring Polynomials: GCF and Quadratic Expressions Factor each completely. 1) 3 v2 − 27v − 30 2) 6n2 + 72n + 192 3) 2n3 − 20n2 4) 2x4 + 22x3 + 56x2.

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No, 8a 2(2a)(4). 4a - 8a + 16 is not a perfect square trinomial. Example 2 Factor Completely Factor each polynomial. a. 3x – 12x + 12 This polynomial has a GCF of 3. First, factor out the GCF and you are left with 3(x – 4x + 4). The resulting trinomial has the first term as a perfect square x = (x) , the last term is also a perfect.

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We hope this graphic will likely be one of excellent reference Factoring polynomials 1) first determine if a common monomial factor (greatest common factor) exists. From 8th grade algebra worksheets to course syllabus, we have got all of it covered. 7th grade factoring algebraic expressions worksheet. Source: pinterest.com.

Definitions: Factoring a polynomial is expressing the polynomial as a product of two or more factors; it is somewhat the reverse process of multiplying. To factor polynomials, we generally make use of the following properties or identities; along with other more techniques. Distributive Property: a b + a c = a ( b + c) Difference of two squares:. Factoring and Solving Quadratic Equations Worksheet Math Tutorial Lab Special Topic Example Problems Factor completely. 1. 3x+36 2. 4x2 +16x 3. x2 14x 40 4. x2 +4x 12 5. x2 144 6. x4 16 7. 81x2 49 8. 50x2 372 9. 2x3 216x 18x 10. 4x2 +17x 15 11. 8x2 15x+2 12. x3 3x2 +5x 15 13. 5rs+25r 3s 15 14. 125x3 64 15. 2x3 +128y Solve the following equations.

Factoring Quadratic Trinomials Multiplying and Dividing Fractions Dividing Decimals by Whole Numbers Adding and Subtracting Radicals Subtracting Fractions Factoring Polynomials by Grouping Slopes of Perpendicular Lines Linear Equations Roots - Radicals 1 Graph of a Line Sum of the Roots of a Quadratic Writing Linear Equations Using Slope and Point.

Quarter 1 – Module 1: Factoring Polynomials 8. Mathematics – Grade 8 Self-Learning Module (SLM) Quarter 1 – Module 1: Factoring Polynomials First Edition, 2020. Republic Act 8293, section 176 states that: No copyright shall subsist in any.

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Factoring Polynomials 8. Mathematics - Grade 8 Self-Learning Module (SLM) Quarter 1 - Module 1: Factoring Polynomials First Edition, 2020. Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office wherein the work is.

We notice that each term has an a a in it and so we "factor" it out using the distributive law in reverse as follows, ab +ac = a(b+c) a b + a c = a ( b + c) Let's take a look at some examples. Example 1 Factor out the greatest common factor from each of the following polynomials. 8x4 −4x3+10x2 8 x 4 − 4 x 3 + 10 x 2.

Quarter 1 – Module 1: Factoring Polynomials 8. Mathematics – Grade 8 Self-Learning Module (SLM) Quarter 1 – Module 1: Factoring Polynomials First Edition, 2020. Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office.

Example 1: Factor the expressions. (a) 15 x 3 + 5 x 2 −25 x. Since each term in the polynomial is divisible by both x and 5, the greatest common factor is 5 x. In factored form, the polynomial is written 5 x (3 x 2 + x − 5). (b) 18 x 3 y 5 z 4 + 6 x 2 yz 3 − 9 x 2 y 3 z 2. The largest monomial by which each of the terms is evenly.

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Welcome: Factoring Polynomials Description: A journey into the Algebraic world of Polynomials. You will learn all you ever needed to know about Polynomials! Grade Level: 6-8 Curriculum: Math Keywords: Mathematics, Factoring, Polynomials, Algebra Author(s): Ghada Moreno.

To name polynomials, we will use the function notation such as p ( x) or q ( x ). Thus we can write p ( x) = x5 − 2 x3 + 8 x + 3, or q ( x) = x4 − x2 + 1. This enables us to conveniently substitute values of x when required. where an ≠ 0 and n is a whole number. The coefficients are, in general, real numbers. Lesson 3: Factoring the Sum and Difference of Two Cubes; After going through this module, you are expected to: 1. determine patterns in factoring polynomials; 2. factor polynomials completely and accurately using the greatest common monomial factor (GCMF); 3. factor the difference of two squares; and. 4. factor the sum and difference of two cubes.

Factoring polynomials grade 8 Mathematics 8 Quarter 1– Module 1A Factoring Polynomials. This module is designed and written to help you factor polynomials completely using different techniques. In all lessons, you are given the opportunity to use your prior knowledge and skills in multiplying and dividing polynomials.. Polynomials Class 9 Maths Notes with Formulas Download in pdf. Constants : A symbol having a fixed numerical value is called a constant. Example : 7, 3, -2, 3/7, etc. are all constants. Variables : A symbol which may be assigned different numerical values is known avariable.. Example : cumference of circle r - radius of circle Where 2 & are constants. while C and r are variable. Play this game to review Algebra I. Factor x 2 + 7x + 12.

the rectangle? Use factoring. a. x— 10 and x —8 b. x + 10 and x +8 What is the factored form of the expression? 6x2 + 5x + 1 a. (31+ 1) b. 1) + c. d. c. d. c. d. d. x— 10 and x +8 x + 10 andx—8 (6d+ 1) The area of a rectangular pool is given by the trinomial 9y2 + — 80. What are the possible dimensions of the pool? Use factoring. a.

Factoring polynomials is used to solve many real-world problems. It is basic to studying more about polynomial equations and functions. Continuity of Instruction This chapter covers the factoring of inte- gers, monomials and polynomials. Students learn to find the greatest common factor of the monomials in a polynomial.

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20) 8 T2+10 T−3= Solve each problem. 21) The area of a rectangle is T2+2 T −24. If the width of rectangle is T4, what is its length? _____ 22) +The area of a parallelogram is 8 T2 2 T−6and its height is + . What is the base of the parallelogram? _____ 23) +The area of a rectangle is 18 T2 9 T−2. If the width of the rectangle is 6 1, what.

Grade 8 Math Module 1 - Mathematics Learning Material. Quarter 1 – Module 1: Factoring Polynomials 8. Mathematics – Grade 8 Self-Learning Module (SLM) Quarter 1 – Module 1: Factoring Polynomials First Edition, 2020. Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines.

x = 2 and x = 4 are the two zeros of the given polynomial of degree 4. Because x = 2 and x = 4 are the two zeros of the given polynomial, the two factors are (x - 2) and (x - 4). To find other factors, factor the quadratic expression which has the coefficients 1, 8 and 15. That is, x2 + 8x + 15.

Factoring Polynomials Worksheets - Math Worksheets 4 Kids. Factoring is a process of splitting the algebraic expressions into factors that can be multiplied. Included here are factoring worksheets to factorize linear expressions, quadratic expressions, monomials, binomials and polynomials using a variety of methods like grouping, synthetic.

Problem solving is an application of the concepts that one has learned. In this video, mastery of the lesson regarding special products and factoring polynomials is a must. To learn more about it,.

©l o2C0K1T5x QKsuftlaI _SRoTfetpw]azreeh ]LCLQCD.L X wAulil] SrWiBgchyt_s\ yrbecsPekrbvqecdy.w x iMwaVdSef OwMiEtmhQ YIhnWfYiPnUiBtkea SAvlFgVeGborzaA d1B. Factoring polynomials grade 8 worksheet answers key pdf download Therefore . Solution: Thus the common factors are 3, a, b and c i.e. 3abc. For problems 1 - 4 factor out the greatest common factor from each polynomial. Now using the identity , we get . Therefore.

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Jun 30, 2016 - Chapter 2 Special Products & Factoring - Free download as Word Doc (.doc), PDF File (.pdf), Text File (.txt) or read online for free. Chapter 2 Special Products & Factoring.

8-4 FACTORING QUADRATIC TRINOMIALS When a is not 1 (Tuesday, April 3) ... Assignment: 8-5_factoring_special_cases_worksheet.pdf. 8-6 CHOOSING A METHOD OF FACTORING ....

Factoring Polynomials when a >1 (diamond Method) Factoring when a >1 notes. Download File. factoring when a >1 hw pdf. Download File.. Adding and Subtracting Polynomials Perform the operations. 1. (12y2 + 17y - 4) + (9y2 - 13y + 3) = 2. (2x3 + 7x2 + x) + (2x2 - 4x - 12) = 3. (-3m2 + m) + (4m2 + 6m.

PDF Factoring Cutouts Answersuso di addetti, studenti e appassio-nati. ediz. illustrata, konica minolta c452 user guide, civil engi- ... [TAGALOG] Grade 8 Math Lesson: FACTORING POLYNOMIALS-SUM AND DIFFERENCE OF TWO CUBES Math Antics - Factoring Factoring Trinomials - Volume of prism 12 - Factoring.

Ex. 1. Factor n2 + 16n + 64 Solution: a. Since n2 = (n)2 and 64 = (8)2 , then both the first and last terms are perfect squares. And 2(n)(8) = 16n, then the given expression is a perfect square polynomial. b. The square root of the first term is n and the square root of the last term is 8. The polynomial is factored as (n + 8)2 . 38. 38 Ex. 2.

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I don't see any more, so 3x^2 + 5x^2 = 8x^2. 8x^2 is written next to x^3 as part of our final answer. Before getting the final answer, multiply all terms in the second expression by 5. Put a.

Use the following steps to factor your polynomials: 1) Take out the GCF if possible, * Learn how to factor out a GCF, 2) Identify the number of terms, More information about terms, * 2 term factoring techniques, * 3 term factoring techniques, 3) Check by multiplying, Check with Math FOIL system,. UNIT 8: POLYNOMIALS AND FACTORING 8.1 Adding and Subtracting Polynomials. notes_on_adding_and_subtracting_polynomials.pdf: File Size: 7616 kb: File Type: pdf: ... factoring_polynomials_gcf_method_hw-2.pdf: File Size: 2762 kb: File Type: pdf: Download File. Factoring Polynomials when a=1 (diamond method).

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Polynomial division tableau from the remainder factor and change public link will reload this class must be. 5-6 The makeup and Factor Theorems PDF Free Download. Worksheet 1 2 Polynomial synthetic.

Systems of Equations (Graphing & Substitution) Worksheet Answers. Solving Systems of Equations by Elimination Notes. System of Equations Day 2 Worksheet Answers. Solving Systems with 3 Variables Notes. p165 Worksheet Key. Systems of 3 Variables Worksheet Key. Linear-Quadratic Systems of Equations Notes.

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Quarter 1 – Module 1: Factoring Polynomials 8. Mathematics – Grade 8 Self-Learning Module (SLM) Quarter 1 – Module 1: Factoring Polynomials First Edition, 2020. Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office.

UNIT 8: POLYNOMIALS AND FACTORING 8.1 Adding and Subtracting Polynomials. notes_on_adding_and_subtracting_polynomials.pdf: File Size: 7616 kb: File Type: pdf: ... factoring_polynomials_gcf_method_hw-2.pdf: File Size: 2762 kb: File Type: pdf: Download File. Factoring Polynomials when a=1 (diamond method).

Quarter 1 – Module 1: Factoring Polynomials 8. Mathematics – Grade 8 Self-Learning Module (SLM) Quarter 1 – Module 1: Factoring Polynomials First Edition, 2020. Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office.

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Of course x is our common factor because it is in both terms. We write out common factor (x) on the outside of the parenthesis and everything else inside parenthesis. Final answer x (5 + 2y) We can check our answer by distributing. : x (5 + 2y) = 5x + 2xy (the original. problem) so we know we are correct. 3) 6x + 12.

12.3.3b Notes: Factoring Polynomials; Assignment. p133 #5, 8, 11, 13, C2 C3; After today you should be able to: Identify at least one factor of a polynomial using the integral zero theorem and the factor theorem; determine the other factor by long division or synthetic division; repeat the process until you have no more identifiable factors. No, 8a 2(2a)(4). 4a - 8a + 16 is not a perfect square trinomial. Example 2 Factor Completely Factor each polynomial. a. 3x – 12x + 12 This polynomial has a GCF of 3. First, factor out the GCF and you are left with 3(x – 4x + 4). The resulting trinomial has the first term as a perfect square x = (x) , the last term is also a perfect.

Factorize the quadratic trinomial below, Solution . Steps 1 and 2: We start by looking at the first term, x 2.Factoring this may look like the expression below. since multiplying x by x gives us x 2.. Step 3: To determine the values that go into the blank spaces, we must find a pair of numbers that multiply to get -12 and add to get 1. We do this by looking for factors of the last term, -12.

2020. 10. 12. · Mathematics Quarter 1 – Module 1: Factoring Polynomials 8. Mathematics – Grade 8 Self-Learning Module (SLM) Quarter 1 – Module 1: Factoring Polynomials First Edition, 2020. Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government.

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Therefore, (x2 + 4x + 4) can be factored as (x + 2)2 Step 3: Check to see if factors can be factored further. If not, you have reached the final answer i.e. 2x3 + 8x2 + 8x = 2x (x + 2)2 A Strategy for.

This test paper with questions and answers for grade 8 factorisation will be . X3 − 6x2 + 12x − 8= (x − 2)3 = (x − 2) (x − 2) (x − 2) = (x − 2) (x2 − 4x + 4). Prime Factorization Worksheet Page, Source: www.math-salamanders.com, pdf factorising exercises question 1 factorise each of the following. Rebecca says the answer is 3 (5y + 10).

Mathematics Polynomials Worksheets for Class 10. We have provided chapter-wise worksheets for class 10 Mathematics Polynomials which the students can download in Pdf format for free. This is the best collection of Mathematics Polynomials standard 10th worksheets with important questions and answers for each grade 10th Mathematics Polynomials.

This activity sheet, containing twenty exercises, has students solving polynomial equations that are in factored form by using the zero product property. Students . Find all values of x that are solutions, given equations in factored form; Find all values of x that are solutions by first factoring a polynomial and using the zero product property; ; Learn this vital topic with ease using these.

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Example 2 Factor Completely Factor each polynomial. a. 3x–12x+ 12 This polynomial has a GCF of 3. First, factor out the GCF and you are left with 3(x– 4x+ 4). The resulting trinomial has the first term as a perfect square x= (x) , the last term is also a perfect square 4 = 2 , and the middle term is equal to 2(x)(2) or 4x..

Think distributive property!-2x(3x2 - 4x + 5) 1) x(7x2 + 4) 2) -2x2(-5 -7x) Multiplying Polynomials To find the product of two polynomials, multiply each term in the first factor by each. The procedure to use the multiplying monomials calculator is as follows: Step 1: Enter the monomials in the respective input field. Factoring out x 2 from the first section, we get x 2 (x + 3). Factoring out -6 from the second section, you'll get -6 (x + 3). 4. If each of the two terms contains the same factor, you can combine the factors together. [2] This gives you (x + 3) (x 2 - 6). 5. Find the solution by looking at the roots.

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Factoring Polynomials Worksheet Grade 8. ∆ abc is isosceles is which ae ⊥ bc, ae = 6 cm, bc = 9 cm, the area of ∆ abc. ... Factoring Polynomials Gcf Worksheet Pdf Grade 8 Math Algebra Source: www.worksheeto.com. pdf factorising exercises question 1 factorise each of the following. We have factor maths worksheets suitable for all abilities.

Factoring Quadratic Trinomials Multiplying and Dividing Fractions Dividing Decimals by Whole Numbers Adding and Subtracting Radicals Subtracting Fractions Factoring Polynomials by Grouping Slopes of Perpendicular Lines Linear Equations Roots - Radicals 1 Graph of a Line Sum of the Roots of a Quadratic Writing Linear Equations Using Slope and Point.

LEARNING GOALS AND TARGETS In this module, you will have the following targets: • Demonstrate understanding of the key concepts of special products and factors of polynomials. • Formulate real-life problems involving special products and factors and solve these with utmost accuracy using a variety of strategies. 8..

Factoring and Solving Quadratics WORKSHEET PACKET Name:_____Period_____ Learning Targets: 0. I can add, subtract and multiply polynomial expressions Factoring Quadratic Expressions 1. I can factor using GCF. 2. I can factor by grouping. 3. I can factor when a is one. 4. I can factor when a is not equal to one. 5. Factoring polynomials grade 8 worksheet answers key pdf download Therefore . Solution: Thus the common factors are 3, a, b and c i.e. 3abc. For problems 1 – 4 factor out the greatest.

To factor polynomials, find the greatest common factor (GCF) of the coefficients and factor it out- divide each term by the GCF. Then find the greatest common factor (GCF) of the variables by finding the lowest power of each variable that will divide all terms and factor it out- divide each term by GCF..

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PE.pdf - Physical Education Quarter 1- Module 1: Go For... PE 8 MODULE 1, QUARTER 1.pdf 32 pe8_q1_mod1_go for fitness goal_FINAL07282020.pdf 32 P.E. Module 1.doc 34 PE AND HEALTH 11 MODULE 1.pdf 32 Newly Uploaded Documents 4 Do you think glucose is being actively transported or transported by document 14 Q 74 The major light harvesting pigments. Unit8%Performance%Task%! 1! Name:_____%% % % % Date:_____% Algebra1% % % % % % % % % Band:_____%! Unit8:Polynomials!&!Factoring!Performance!Tasks!.

Algebra 1b Semester Exam Review Answers 2013 Author: connect.upnyk.ac.id-2022-07-15-07-22-59 Subject: Algebra 1b Semester Exam Review Answers 2013 Keywords: algebra,1b,semester,exam,review,answers,2013 Created Date: 7/15/2022 7:22:59 AM. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left. Example 2 Factor Completely Factor each polynomial. a. 3x–12x+ 12 This polynomial has a GCF of 3. First, factor out the GCF and you are left with 3(x– 4x+ 4). The resulting trinomial has the first term as a perfect square x= (x) , the last term is also a perfect square 4 = 2 , and the middle term is equal to 2(x)(2) or 4x..

NOTE: The largest number allowed for GCF is 1,000,000 and for LCM 10,000 to be safe (to reduce the server load). Basic instructions for the worksheets. Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.. You can use the generator to make worksheets either in html or PDF format — both are easy to print. Answer. Question 22. x 2 - x is ________ polynomial. (a) Linear. (b) Quadratic. (c) Cubic. (d) None of the above. Answer. We believe the knowledge shared regarding NCERT MCQ Questions for Class 9 Maths Chapter 2 Polynomials with Answers Pdf free download has been useful to the possible extent. Factor x 2 + 5 x + 4. Step 1. Identify a, b and c in the trinomial. ax 2 + bx + c. a = 1 b = 5 c = 4. Step 2. Write down all factors of c which multiply to 4. (Note: since 4 is positive we only need to think about pairs that are either both positive or both negative. Remember a negative times a negative is a positive.

factor equal to zero we got a false statement. No solutions come from this factor. Often a student will skip setting the GCF factor equal to zero if there is no vari-ables in the GCF. Just as not all polynomials cannot factor, all equations cannot be solved by fac-toring. If an equation does not factor we will have to solve it using another method. What do you call a polynomial that cannot be factored? answer choices FOIL Simplified Prime Proper Question 7 300 seconds Q. Factor completely. Always look for a GCF first! 3x 2 + 18x +15 answer choices 3 ( x 2 + 6x + 5) (x + 5) (x + 1) 3 (x + 5) (x + 1) Prime Question 8 300 seconds Q. Factor by finding a GCF: 24c 5 - 12c 3 answer choices.

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Mathematics Polynomials Worksheets for Class 10. We have provided chapter-wise worksheets for class 10 Mathematics Polynomials which the students can download in Pdf format for free. This is the best collection of Mathematics Polynomials standard 10th worksheets with important questions and answers for each grade 10th Mathematics Polynomials.

Factor polynomial calculator greatest common binomial, ti 83 rom download, year 11 worksheets on integers, pre-algebra inequalities worksheet. Factoring calculator online, free worksheets 4th grade math order of operations, worksheets : name and write percentages, interactive program square roots.

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File Type PDF Factoring Polynomials Practice Worksheet With Answers Algebra I classes. If you are struggling in a "standards-based" Algebra I class, then you need this book! (E-Book ISBN#0-9749392-1-8 (ISBN13#978-0-9749392. ... mid school math answer key grade 7. Squarespace version: 7.1. Find a fourth degree polynomial that is divisible by and has the roots by and . Step 1. and can be written as and . Step 2. Multiply and together: Step 3. Now, multiply with to get the fourth degree polynomial: Solution of exercise 4. Calculate the value of a for which the polynomial has the root . Put in the polynomial expression: Solution of. I like this problem, especially if we use the area model for representing the distributive property of polynomial multiplication. We are about to start factoring this week, I may try this one! I'd love more examples of factoring questions like this! I didn't see any more here but if you have another place to look, let me know. 🙂. Factoring Polynomials Worksheets - Math Worksheets 4 Kids. Factoring is a process of splitting the algebraic expressions into factors that can be multiplied. Included here are factoring worksheets to factorize linear expressions, quadratic expressions, monomials, binomials and polynomials using a variety of methods like grouping, synthetic .... factor equal to zero we got a false statement. No solutions come from this factor. Often a student will skip setting the GCF factor equal to zero if there is no vari-ables in the GCF. Just as not all polynomials cannot factor, all equations cannot be solved by fac-toring. If an equation does not factor we will have to solve it using another method. Factoring polynomials grade 8 Mathematics 8 Quarter 1– Module 1A Factoring Polynomials. This module is designed and written to help you factor polynomials completely using different techniques. In all lessons, you are given the opportunity to use your prior knowledge and skills in multiplying and dividing polynomials..

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We hope this graphic will likely be one of excellent reference Factoring polynomials 1) first determine if a common monomial factor (greatest common factor) exists. From 8th grade algebra worksheets to course syllabus, we have got all of it covered. 7th grade factoring algebraic expressions worksheet. Source: pinterest.com.

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Intermediate Algebra Skill Factoring Polynomials: Grouping Factor each completely. 1) 96 m3 − 12m2 − 112m + 14 2) 15n3 − 18n2 + 25n − 30 3) 120p3n2 + 24p2n2 − 40n2p − 8n2 4) 128x4m. Factoring polynomials grade 8 worksheet answers key book pdf 137198192208 167163448343 108095114238 4759540150 7326028930 16438467.050505 28741296600 39492702.313725 11874232.166667 60266170954 93442894116 10300636.608696 13030025.106383 25513720824 20514214872 25742768922 12024878.586207 19021482.185185 29101342.33871 154592956296 17899976.4.