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30 October, 15:33

Which of the following shows the correct factorization of x3 - 5x2 - 14x?

A. x (x + 7) (x + 2)

B. x (x - 7) (x - 2)

C. x (x + 7) (x - 2)

D. x (x - 7) (x + 2)

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Answers (1)
  1. 30 October, 15:40
    0
    So, just a note of formatting, to indicate something is an exponent of something else, use the carat (^) sign

    for instance

    x^3 means x cubed. x3 means 3x.

    Anyways, though, let's factor.

    You can factor out an x from each variable.

    x (x^2-5x-14)

    Now, to factor this, think of what will add to - 5, and multiply to - 14.

    -7 and 2 work.

    So, this factors out to

    x (x-7) (x+2)

    Choice D is the correct factorization.
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