SOLUTION: So my question is all about factoring. It says to simplify all square roots and answers should not be decimals. Factor or solve the following: 2x^3-3x^2-50x+75

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: So my question is all about factoring. It says to simplify all square roots and answers should not be decimals. Factor or solve the following: 2x^3-3x^2-50x+75      Log On


   

Question 1174727: So my question is all about factoring.
It says to simplify all square roots and answers should not be decimals.
Factor or solve the following:
2x^3-3x^2-50x+75
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by ikleyn(52799) About Me  (Show Source):
You can put this solution on YOUR website!
.

Factor it as follows


    2x^3 - 3x^2 - 50x + 75 = apply grouping first = (2x^3 - 3x^2) - (50x - 75) = 

                           = x^2*(2x-3) - 25*(2x-3) = (x^2-25)*(2x-3) = (x+5)*(x-5)*(2x-3).

Factoring is complete.