Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A30: 39

Answer

$-2x^3+18x^2-18$

Work Step by Step

The given expression is $=6(x^3+x^2-3)-4(2x^3-3x^2)$ Use distributive property and clear the parentheses. $=6x^3+6x^2-18-8x^3+12x^2$ Add like terms. $=-2x^3+18x^2-18$ Hence, the single polynomial in standard form is $-2x^3+18x^2-18$.
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