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1 vote
Factor completely 3x^3 + 6x^2 − 24x

Select one:
a. 3x(x − 4)(x + 2)
b. 3x(x + 4)(x − 2)
c. 3x(x − 3)(x + 2)
d. 3x(x + 3)(x + 2)

User Sunny Days
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6.1k points

1 Answer

2 votes

The only choice that multiplies out to give the original expression is ...

... b. 3x(x + 4)(x − 2)

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After you factor out 3x, you have 3x(x² +2x -8). At this point you can eliminate answers C and D because the product of the constants in the binomial factors is not -8. You can eliminate answer A because the product of binomial terms gives -2x as the linear term in the quadratic factor, not +2x.

User Oleksandr Kravchuk
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5.8k points