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.