Find the quotient and remainder when
Question:
Find the quotient and remainder when
$f(x)=x^{4}-5 x+6$ is divided by $g(x)=2-x^{2}$
Solution:
We can write
$f(x)$ as $x^{4}+0 x^{3}+0 x^{2}-5 x+6$ and $g(x)$ as $-x^{2}+2$
Quotient $q(x)=-x^{2}-2$
Remainder $r(x)=-5 x+10$