Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set: 118

Answer

$43x^{2}-12x-43$

Work Step by Step

We are given that $Q(x)=4x^{2}-6x+3$ and $R(x)=5x^{2}-7$. $2[Q(x)]+7[R(x)]=2(4x^{2}-6x+3)+7(5x^{2}-7)=(8x^{2}-12x+6)+(35x^{2}-49)$ Combine like terms. $(8x^{2}+35x^{2})-12x+(6-49)=43x^{2}-12x-43$
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