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: 37

Answer

$x^3-4x^2+9x+7$

Work Step by Step

Subtract each term of the subtrahend then simplify by combining like terms to obtain: $(x^3-2x^2+5x+10)-(2x^2-4x+3)\\ =x^3-2x^2+5x+10-2x^2-(-4x)-3\\ =x^3-2x^2+5x+10-2x^2+4x-3\\ =x^3-(2x^2+2x^2)+(5x+4x)+(10-3)\\ =x^3-4x^2+9x+7$ Hence, the single polynomial answer in standard form is $x^3-4x^2+9x+7$.
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