10
QuizMultiple Choice

Factoring Polynomials Completely

Question 10 • Common Core Algebra I B-IC

Wen is factoring the polynomial, which has four terms.6x3 – 12x2 + 7x – 146x2 (x – 2) + 7(x – 2)Which is the completely factored form of his polynomial?

Answer
A
(6x2 + 7) (x –2)
B
(6x2 – 2) (x +7)
C
(6x2 + 2) (x – 7)
D
(6x2 – 7) (x + 2)

Explanation

Group the four terms: 6x³ − 12x² + 7x − 14 = 6x²(x − 2) + 7(x − 2). Both groups contain the factor (x − 2), so factoring it out gives (6x² + 7)(x − 2). This is choice A.

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