4
QuizMultiple Choice

Factoring Polynomials Completely

Question 4 • FL-1200700-Mathematics for College Algebra MIS

Which is the completely factored form of 4x3 + 10x2 – 6x?

Answer
A
2(x + 3)(2x – 1)
B
2x(x + 3)(2x – 1)
C
2x(x – 3)(2x – 1)
D
2(x – 3)(2x + 1)

Explanation

First factor out the greatest common factor, 2x: 4x³ + 10x² − 6x = 2x(2x² + 5x − 3). Then factor the quadratic as (2x − 1)(x + 3), giving 2x(x + 3)(2x − 1), choice B.

AI-written and checked against the verified answer.

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