8
QuizMultiple Choice

Factoring Polynomials Completely

Question 8 • Common Core Algebra I B-IC

Ricardo is factoring the polynomial, which has four terms.5x3 + 20x2 + 2x + 85x2(x + 4) + 2(x + 4) Which is the completely factored form of his polynomial?

Answer
5
5x2(x + 4)
7
7x2 (x + 4)
(
(7x2 + 2) (x + 4)
(
(5x2 + 2) (x + 4)

Explanation

Group the terms: 5x³ + 20x² + 2x + 8 = 5x²(x + 4) + 2(x + 4). Both groups share the factor (x + 4), so factoring it out gives (5x² + 2)(x + 4). This is choice D.

AI-written and checked against the verified answer.

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