Answer
$\underline{-5}|\ \ 4\ \ 0\ \ -8\ \ -2$
Work Step by Step
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.
$...$
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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
$\underline{-5}|\ \ 4\ \ 0\ \ -8\ \ -2$
