## College Algebra (6th Edition)

$\underline{-5}|\ \ 4\ \ 0\ \ -8\ \ -2$
Synthetic Division To divide a polynomial by $x-c$: 1. Arrange the polynomial in descending powers, with a $0$ coefficient for any missing term. 2. Write $c$ for the divisor, $x-c$. To the right, write the coefficients of the dividend. $...$ ----------- The divisor is (x+5), so c= $-5,$ and the coefficients of the dividend are $4,\ 0,\ -8,\ -2$. (the $x^{2}$ term was missing, so we assign a coefficient 0) So our first step is to write $\underline{-5}|\ \ 4\ \ 0\ \ -8\ \ -2$