SOLUTION: Factor by grouping, if possible. Show all work necessary. 5x^3 - 25x^2 + 2x - 10

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor by grouping, if possible. Show all work necessary. 5x^3 - 25x^2 + 2x - 10       Log On


   



Question 325905: Factor by grouping, if possible. Show all work necessary.
5x^3 - 25x^2 + 2x - 10

Answer by Apathious(24) About Me  (Show Source):
You can put this solution on YOUR website!
5x^(3)-25x^(2)+2x-10
Factor the greatest common factor (GCF) from each group.
(5x^(2)(x-5)+2(x-5))
Factor the polynomial by grouping the first two terms together and finding the greatest common factor (GCF). Next, group the second two terms together and find the GCF. Since both groups contain the factor (x-5), they can be combined.
(5x^(2)+2)(x-5)