College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.5 - Polynomials - R.4 Assess Your Understanding - Page 49: 101

Answer

Quotient: $-4x^{2}-3x-3$ Remainder: $-7$

Work Step by Step

$\space$$\space$$\space$$\space$$\space$$\space$$\space$$\space$$\space$ ${-4x^2-3x-3}$ $x-1$$\space)\overline{-4x^{3}+x^{2}+0x-4}$ $\space\space\space\space\space\space\space\space\space\space\space\space\underline{-4x^{3}+4x^{2}}$ $\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-3x^{2}+0x$ $\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\underline{-3x^{2}+3x}$ $\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-3x-4$ $\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\underline{-3x+3}$ $\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-7$ Check answer: $(-4x^{2}-3x-3)\cdot(x-1)-7$ $-4x^{3}+4x^{2}-3x^{2}+3x-3x+3-7$ $-4x^{3}+x^{2}-4$
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