Question

How to solve this answer

Answer 1

[D] x

Explanation:

To find the factors, you have to find ultimately what they have in common that they can multiply with. To do that, the first step is to find the GCF. The only thing these 3 terms have in common is an
`x`:

`x(x^2+9x-52)`

Do the diamond method, or any other method, to find what 2 numbers multiply to -52 and add to 9. And then, replace it 9x from the equation with those 2 numbers. So, now you equation looks like:

`x^2-4x+13x-52`

Now, you treat this equation as two different equations. Or, 2 binomials, and you factor them:

`x^2-4x|13x-52`

`x(x-4)+13(x-4)` (The 2 factors are:)

`(x+13)(x-4)`

Remember the
`x` in the beginning, you have to add that to the final answer:

`x(x+13)(x-4)`

Only one of these 3 factors are answer choices in the question:

D. x