#### Answer

$P\left( -2 \right)=91$

#### Work Step by Step

Substituting $x$ with $
-2
$ in the given polynomial equation, $P(x)=4x^4+7x^2-2x-5,$ then,
\begin{array}{l}\require{cancel}
P\left( -2 \right)=4(-2)^4+7(-2)^2-2(-2)-5
\\\\
P\left( -2 \right)=4(16)+7(4)-2(-2)-5
\\\\
P\left( -2 \right)=64+28+4-5
\\\\
P\left( -2 \right)=91
.\end{array}