Answer:
The correct answer is B: 2x(x+3)(2x-1)
Explanation:
I got it right on the quiz.
B. 2x(x + 3)(2x – 1)
A. 2(x + 3)(2x – 1)
= (2x + 6)(2x - 1)
= 4x² - 2x + 12x - 6
= 4x² + 10x - 6
= (2x² + 6x)(2x - 1)
= 4x³ - 2x² + 12x² - 6x
= 4x³ + 10x² - 6x
C. 2x(x – 3)(2x – 1)
= (2x² - 6x)(2x - 1)
= 4x³ - 2x² - 12x² + 6x
= 4x³ - 14x² + 6x
D. 2(x – 3)(2x + 1)
= (2x - 6)(2x + 1)
= 4x² + 2x - 12x - 6
= 4x² - 10x - 6
The completely factored form of 4x3 + 10x2 – 6x is 2x(x + 3)(2x – 1)
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