Precalculus (10th Edition)

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

Appendix A - Review - A.4 Synthetic Division - A.4 Assess Your Understanding - Page A34: 2

Answer

$\begin{matrix} &-- &-- &--&--& \\ -3) &2&0&-5&1& & \\ \end{matrix}$

Work Step by Step

The given expression is $(2x^3-5x+1)\div (x+3)$ Rewrite the dividend in descending powers of $x$. $(2x^3+0x^2-5x+1)\div (x+3)$ The divisor is $x+3$. Use $-3$ to the left of the division symbol, and the numerical coefficients of the dividend on the right side . Hence, the first step is $\begin{matrix} &-- &-- &--&--& \\ -3) &2&0&-5&1& & \\ \end{matrix}$
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