Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Practice and Problem-Solving Exercises - Page 681: 33


The answer is $4c^2 +9c+7+\frac{36}{3c-4}$

Work Step by Step

$(12c^3+11c^2-15c+8) \div (-4+3c)$ $=(12c^3+11c^2-15c+8) \div (3c-4)$ $4c^2$ _________________________ $3c-4)12c^3+11c^2-15c+8$ $-12c^3+16c^2$ _________________________ $27c^2-15c$ $-27c^2+36c$ _________________________ $21c+8$ $-21c+28$ _________________________ $36$ The answer is $4c^2 +9c+7+\frac{36}{3c-4}$.
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