Posted by **Mary** on Saturday, April 7, 2007 at 11:53pm.

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.

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