Question: Find the quotient when $p(x)=3 x^{4}+5 x^{3}-7 x^{2}+2 x+2$ is divided by $\left(x^{2}+3 x+1\right)$.
Solution:
Given : $p(x)=3 x^{4}+5 x^{3}-7 x^{2}+2 x+2$
Dividing $p(x)$ by $\left(x^{2}+3 x+1\right)$, we have :
$\therefore$ The quotient is $3 x^{2}-4 x+2$
