Answer
$-483$
Work Step by Step
Remainder Theorem:
If the polynomial $P(x)$ is divided by $x-c$ , then the remainder is the value $P(c)$ .
$\left.\begin{array}{l}
-7 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
5 &30 & -40 & 36 & 14 \\\hline
&-35 & 35 & 35 & -497 \\\hline
5 &-5 & -5 & 71 &|\ \ \ -483 \end{array}$
$R(x)=P(-7)=-483$
