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 .

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  .

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Remainder Theorem" ], "new_concepts": [], "current_concepts": [ "Remainder Theorem", "Polynomial Long Division", "Synthetic Division" ] } ## Apply the Remainder Theorem $$ \begin{aligned} &P(h) = h^4 + h^2 - 2\ &d(h) = h + 3 \implies c = -3\ &R = P(-3) \end{aligned} $$ ## Evaluate the polynomial $$ \begin{aligned} P(-3) &= (-3)^4 + (-3)^2 - 2\ &= 81 + 9 - 2\ &= 88 \end{aligned} $$ 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 88. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Remainder Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the Remainder Theorem

Evaluate the polynomial

Answer: