Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Practice and Problem-Solving Exercises - Page 681: 35

Answer

$3y^2 +5y+\frac{29}{3}+\frac{124}{3(3y-5)}$

Work Step by Step

$(4y+9y^3-7) \div (-5+3y)$ $=(9y^3+4y-7) \div (3y-5)$ $3y^2+5y$ _________________________ $3y-5)9y^3+4y-7$ $-9y^3+15y^2$ _________________________ $15y^2+4y$ $-15y^2+25y$ _________________________ $29y-7$ $-29y+\frac{145}{3}$ _________________________ $\frac{124}{3}$ The answer is $3y^2 +5y+\frac{29}{3}+\frac{124}{3(3y-5)}$.

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