SOLUTION: how do you factor 3x3 + 12x2 + 18x completely?

Question 514045: how do you factor 3x3 + 12x2 + 18x completely?
Found 2 solutions by stanbon, drcole:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
factor 3x^3 + 12x2 + 18x completely
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= 3x(x^2+4x+6)
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Cheers,
Stan H.
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Answer by drcole(72) (Show Source): You can put this solution on YOUR website!
You want to factor

First, we look for the greatest common factor of all three terms --- the "largest" expression that divides all three. In this case, the greatest common factor appears to be 3x, so we factor it out:

We can only factor the remaining part, , in the usual sense if has rational roots, but the roots of are (according to the quadratic formula):

Since the roots are complex numbers, we wouldn't usually factor this expression any further.
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