SOLUTION: I need some help with solving this problem. I am learning how to factor by grouping and not sure if I am getting the right answer. 2x^3 - 2x^2 - x+1= Thanks for your help :

Algebra ->  Test -> SOLUTION: I need some help with solving this problem. I am learning how to factor by grouping and not sure if I am getting the right answer. 2x^3 - 2x^2 - x+1= Thanks for your help :      Log On


   



Question 335289: I need some help with solving this problem.
I am learning how to factor by grouping and not sure if I am getting the right answer.
2x^3 - 2x^2 - x+1=
Thanks for your help :o)

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with:
2x^3 - 2x^2 - x+1
.
Group terms:
(2x^3-2x^2) - (x-1) Notice the sign change on the second term!
.
Factor left term:
2x^2(x-1) - (x-1)
.
Factor common term:
(x-1)(2x^2 - 1)
.
.
You could leave it the way it is or consider the second term as a "difference of squares" giving you:
+%28x-1%29%28x%2Asqrt%282%29+-+1%29%28x%2Asqrt%282%29+%2B+1%29