How do you factor #6x ^ { 3} - 24x ^ { 2} + 18x#?

1 Answer
Scott F.
Mar 26, 2017

#6x(x-3)(x-1)#

Explanation:

#6x^3-24x^2+18x#

First factor out the greatest common factor, in this case #6x# because #6x# evenly divides into each term.

#6x(x^2-4x+3)#

Then factor the quadratic using the AC method.

#6x(x-3)(x-1)#

And you're done!

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