Answer
$f(-3)=-133$
Work Step by Step
The remainder theorem:
If the polynomial f(x) is divided by $x-c$, then the remainder is $f(c).$
Divide $3x^{3}-7x^{2}-2x+5$
with $x+3,\qquad (c=-3)$
$\begin{array}{rrrrrrrr}
\underline{-3}| &3 & -7 & -2 & 5 & & & & \\
& & -9 & 48 & -138 & & & & \\
& --& -- &-- &-- & & & & \\
&3 & -16 & 46 & -133 & & & & \end{array}$
Quotient = $ 3x^{2}-16x+46$
Remainder = $f(-3)=-133$
