SOLUTION: Can some one please help me with this problem: Factor completely: x3 – 3x2 + 6x – 18 Thank you

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Question 139660: Can some one please help me with this problem:
Factor completely:
x3 – 3x2 + 6x – 18
Thank you


Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
finding a root (a value of x that makes the expression zero) is a good way to start

testing the factors of -18 shows that 3 is a root __ this means that x-3 is a factor

factoring out x-3 leaves x^2+6, which is not factorable

so the factors are (x-3)(x^2+6)