SOLUTION: I just submitted this and forgot to give my email address: I am working Factoring polynominals completely. I can't figure out a solution for this one. 2x (exponent of 3) -1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I just submitted this and forgot to give my email address: I am working Factoring polynominals completely. I can't figure out a solution for this one. 2x (exponent of 3) -1      Log On


   



Question 21453: I just submitted this and forgot to give my email address:
I am working Factoring polynominals completely. I can't figure out a solution for this one.
2x (exponent of 3) -10x (exponent of 2) + 12x
Please help - thanks so much!!

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
2x%5E3+-+10x%5E2+%2B+12x First, factor 2x from this expression.
2x%28x%5E2+-+5x+%2B+6%29 Now factor the parentheses. The factors will look like (x - a)(x - b)
What are a and b? You need (a)(b) = 6 for the constant term and (a)+(b) = -5 for the x-coefficient.
Try: a = -2 and b = -3
(-2)(-3) = 6
(-2)+(-3) = -5
These will work, so the factors are (x - 2)(x - 3).
Putting it all together, we have:
2x%5E3+-+10x%5E2+%2B+12x+=+2x%28x+-+2%29%28x+-+3%29