Factoring (Foil)

Question

The question is 15x^3-25x^2+10. I got up to the part of 5x(3x^2-5x+2) but after that I just get stuck. 

Answer 1

15x^3-25x^2+10

 

So you are going to pull out a 5 from all the terms

 

Like so:

 

5(3x^3-5x^2+2) 

 

then you are done because you nothing else to pull out or factor out

Answer 2

15 X^3 - 25X^2 +10 =

 

5 (3 X ^3  - 5X^2 +2 ) =

 

 5 ( 3 X^3 - 3X^2 - 2X^2 + 2)

 

 

5 [ 3X ( X^2 - 1) - 2 ( X^2 - 1)] =

 

5 ( X^2 -1 ) ( 3X - 2) =

 

5 ( X +1) ( X -1) ( 3X - 2)