#### Answer

$\underline{4}|\ \ 1\ \ 5\ -7\ \ 1$

#### 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.
$...$
-----------
c=4, and
the coefficients of the dividend are 1, 5, -7, 1.
(none are missing)
So our first step is to write
$\underline{4}|\ 1\ 5\ -7\ 1$