factor x^3+2x^2−25x−50x completly

Question

factor  x^3+2x^2−25x−50x completly

Timmyspu · Answer

Could you provide a screenshot because it would be a lot easier to understand?

iosangel · Answer

iosangel · Answer

didnt mean to put an x

Timmyspu · Answer

Ok, so I am a little rusty in this. So what is the first step we have to do to get our answer?

iosangel · Answer

i have no idea where to even start

Timmyspu · Answer

The believe the first thing we have to do is combined like terms. So is there any like terms?

Vocaloid · Answer

x^3+2x^2−25x−50x

Separate into

(x^3 + 2x^2) - (25x + 50x)

Factor out the gcf from the first set of parentheses, then the second set of parentheses.

You’ll have something in the form

A(B) - C(B) which you can factor into B(A-C). Think of this step as the opposite of the distributive property.

Vocaloid · Answer

Study factoring by grouping when you get a chance.

(x^3 + 2x^2) - (25x + 50)

factoring x^2 out from the first parentheses, and 25 out from the second parentheses

x^2(x+2) - 25(x+2)

applying the reverse of the distributive property: (x+2)(x^2-25)

however, we have a difference of squares, so we can factor further into (x+2)(x+5)(x-5)