I have 4 math problems that need to be solved by using factoring. I am unable to figure the following out. I have used the FOIL method but it seems not to be working out. I appreciate any help I can get. Thanks

^ exponet

3x^3-7x^2+2x
x^2-2x+5
x^4-7x^3+2x-14
8x^2-2x=3

3x^3-7x^2+2x

First of all, factor out the x. That gives you
x(3x^2 - 7x +2)
The factors of the term in parentheses must be of the form (3x + a)(x+b), with ab = 2 and a+3b = -7. That means a = -1 and b=-2
x(3x-1)(x-2) is the answer.