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: 38

Answer

$-x^3+4x^2-4x-9$

Work Step by Step

Subtract each term of the subtrahend then simplify by combining like terms to obtain: $(x^2-3x-4)-(x^3-3x^2+x+5)\\ =x^2-3x-4-x^3-(-3x^2)-x-5\\ =x^2-3x-4-x^3+3x^2-x-5\\ =-x^3 +(x^2+3x^2)-(3x+x)-(4+5)\\ =-x^3 +4x^2-4x-9$ Hence, the single polynomial answer in standard form is $-x^3+4x^2-4x-9$.
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