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)

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.