College Algebra (10th Edition)

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

Chapter R - Section R.6 - Synthetic Division - R.6 Assess Your Understanding: 2

Answer

Write $-3)\overline{\text{2 0 -5 1}}$

Work Step by Step

The first step is to write the numerical coefficients of the dividend in decreasing degree inside the division symbol, then write the value of $c$ outside the symbol. The coefficients of the dividend are: $2, 0, -5, 1$ (there is no $x^2$ term so the coefficient is $0$). To solve for $c$, equate $x+3$ to $0$ then solve for $x$: $x+3=0 \\x=-3$ Thus, the first step in the synthetic division is to write: $-3)\overline{\text{2 0 -5 1}}$
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