SOLUTION: how do you factor 3x^3-15x^2-6x+30

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Question 573348: how do you factor 3x^3-15x^2-6x+30
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
3x³-15x²-6x+30

Factor out 3, using brackets:

3[x³-5x²-2x+10]

Factor the first two terms in the brackets by factoring out x²
Factor the last two terms by factoring out -2

3[x²(x-5)-2(x-5)]

Factor out the (x-5) inside the brackets, leaving the x² and the
-2 to put inside a parentheses:

3[(x-5)(x²-2)]

Erase the brackets:

3(x-5)(x²-2)

Edwin