How do you factor 6x^3 - 36x^2 - 162x?

1 Answer
George C.
Jun 4, 2015

6x^3-36x^2-162x = 6x(x^2-6x-27)

= 6x(x^2-(9-3)x-(9xx3)) = 6x(x-9)(x+3)

Having separated the common 6x factor out, it remained to try to find a factorization of 27 into two factors whose difference was 6. There are not many choices to try and the pair 9, 6 works.

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