Question

type the correct answer in the box. use numerals instead
find the remainder of ((h^4 + h^2 - 2) div (h + 3)).
the remainder is (square).

Explanation:

Step1: Apply Remainder Theorem

The Remainder Theorem states that the remainder of a polynomial \( f(h) \) divided by \( (h - a) \) is \( f(a) \). Here, we are dividing by \( (h + 3) = (h - (-3)) \), so \( a=-3 \). Let \( f(h)=h^{4}+h^{2}-2 \).

Step2: Substitute \( h = - 3 \) into \( f(h) \)

Calculate \( f(-3)=(-3)^{4}+(-3)^{2}-2 \). First, \( (-3)^{4}=81 \), \( (-3)^{2}=9 \). Then \( f(-3)=81 + 9-2 \).

Step3: Simplify the expression

\( 81+9 = 90 \), and \( 90 - 2=88 \).

Answer:

88