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type the correct answer in the box. use numerals instead of words. if n…

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 \boxed{}

Explanation:

Step1: Recall Remainder Theorem

The Remainder Theorem states that if a polynomial \( f(n) \) is divided by \( n - a \), the remainder is \( f(a) \). For the divisor \( n + 3 \), we can rewrite it as \( n - (-3) \), so \( a = -3 \).

Step2: Define the polynomial

Let \( f(n)=n^{4}+n^{2}-2 \).

Step3: Substitute \( n = -3 \) into \( f(n) \)

Calculate \( f(-3) \):

$$ LATEXBLOCK0 $$

Answer:

88