SOLUTION: factor completely x^3 - x^2 - 42x factor completely -33x + 15 + 6x^2

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Question 303430: factor completely
x^3 - x^2 - 42x
factor completely
-33x + 15 + 6x^2
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x^3 - x^2 - 42x
x(X^2-x-42)
x(x^2-7x+6x-42)
x{x(x-7)-6(x-7)}
x{(x-6)(x-7)}
x(x-6)(x-7)
..
.
-33x + 15 + 6x^2
6x^2-33x+15
6x^2-30x-3x15
6x(x-5)-3(x-5)
(x-5)(6x-3)
3((x-5)(2x-1)