SOLUTION: Simplify all square roots and answers should not be decimals Factor or solve the following 2x^3-3x^2-50x+75

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Question 1174723: 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):
You can put this solution on YOUR website!
If you try Rational Roots Theorem and synthetic division for checking the possible roots, you may come up with roots -5, 1.5, and 5.

Answer by ikleyn(52803) 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.