Answer
$P(4)=3,043$
Work Step by Step
Substituting $x$ with $ 4 $ in the given polynomial equation, $P(x)=3x^5-9x+7,$ then, \begin{array}{l}\require{cancel} P(4)=3(4)^5-9(4)+7 \\\\
P(4)=3(1024)-9(4)+7
\\\\
P(4)=3072-36+7 \\\\
P(4)=3,043
.\end{array}