Question

Factor by grouping: x^3 + 3x^2 - 25x -75 Which of the following is one of the factors?

Answer 1

I got the Same answer

Answer 2

Final factor is
`(x + 3)(x+5)(x-5)`.

Explanation:

Given expression is
`x^3 + 3x^2 - 25x -75`

Now we need to factor that expression
`x^3 + 3x^2 - 25x -75` by grouping. So let's make group of first two terms and group of last two terms.

`x^3 + 3x^2 - 25x -75`

`=(x^3 + 3x^2)+( - 25x -75)`

factor each group

`=x^2(x + 3)-25(x +3)`

`=(x + 3)(x^2-25)`

`=(x + 3)(x+5)(x-5)`

Hence final factor is
`(x + 3)(x+5)(x-5)`.