Answer
$3x^3-4x^2+7$.
Work Step by Step
Divide the polynomial $3x^4+11x^3-20x^2+7x+35$ by $x-c$, where $c=-5$, using synthetic division
$\begin{matrix}
-5) &3&11&-20&7&35 \\
& &-15&20&0 &-35\\
& --&--&--& --&--\\
& 3&-4&0&7&0
\end{matrix}$
The quotient is $3x^3-4x^2+0x+7$ and the remainder is zero.
Simplify the quotient.
$=3x^3-4x^2+7$
Hence, the solution is $3x^3-4x^2+7$.
