Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.3 - Introduction to Polynomials - Exercise Set: 42

Answer

$\dfrac{5}{16}x^{3}-14x^{2}-\dfrac{3}{16}x+\dfrac{1}{8}$

Work Step by Step

$\dfrac{5}{16}x^{3}-\dfrac{1}{8}+\dfrac{3}{8}x+\dfrac{1}{4}-\dfrac{9}{16}x-14x^{2}$ Simplify the expression by combining like terms: $\dfrac{5}{16}x^{3}-14x^{2}+\Big(\dfrac{3}{8}-\dfrac{9}{16}\Big)x+\Big(\dfrac{1}{4}-\dfrac{1}{8}\Big)=...$ $...=\dfrac{5}{16}x^{3}-14x^{2}+\Big(\dfrac{48-72}{128}\Big)x+\dfrac{8-4}{32}=...$ $...=\dfrac{5}{16}x^{3}-14x^{2}-\dfrac{24}{128}x+\dfrac{4}{32}=...$ $...=\dfrac{5}{16}x^{3}-14x^{2}-\dfrac{3}{16}x+\dfrac{1}{8}$
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