Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. find the remainder of ((h^4 + h^2 - 2) div (h + 3)). the remainder is (square)

Explanation:

Step1: Apply Remainder Theorem

For polynomial $f(h)$ divided by $(h-a)$, remainder is $f(a)$. Here $a=-3$, so evaluate $f(-3)$ where $f(h)=h^4+h^2-2$.

Step2: Calculate $(-3)^4$

$(-3)^4 = 81$

Step3: Calculate $(-3)^2$

$(-3)^2 = 9$

Step4: Substitute values into $f(h)$

$f(-3) = 81 + 9 - 2$

Step5: Compute final value

$81+9-2=88$

Answer:

88