Find the quotient and remainder when:
Question:
Find the quotient and remainder when:
$f(x)=x^{4}-3 x^{2}+4 x+5$ is divided by $g(x)=x^{2}+1-x$
Solution:
Quotient $q(x)=x^{2}+x-3$
Remainder $r(x)=8$