SOLUTION: 6*a+2*a^3-2-10*a^2 I have to factor the polynomial but it is not making sense. I found gcf and worked it to 2(3*a+a^3)-(1-5*a^2) I'm not sure what to do from here.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 6*a+2*a^3-2-10*a^2 I have to factor the polynomial but it is not making sense. I found gcf and worked it to 2(3*a+a^3)-(1-5*a^2) I'm not sure what to do from here.       Log On


   



Question 719446: 6*a+2*a^3-2-10*a^2
I have to factor the polynomial but it is not making sense. I found gcf and worked it to 2(3*a+a^3)-(1-5*a^2) I'm not sure what to do from here.

Answer by graphmatics(170) About Me  (Show Source):
You can put this solution on YOUR website!
You almost have it. We note that each part of the given expression has a 2 AND an a as a factor so first factor out the 2 to get
6*a+2*a^3-2-10*a^2 = 2*(3*a+a^3-1-5*a^2)
put the right side the reducing order to get
6*a+2*a^3-2-10*a^2=2*(a^3-5*a^2+3*a-1)
=2*(a^2-4*a+1)*(a-1)