How do you factor #6x-x^3-x^2#?

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How do you factor #6x-x^3-x^2#?

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Answer 1 · 2016-11-24T00:39:17

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

Explanation:

Separate out a common factor #-x# and rearrange in descending order of powers of #x#. Then find a pair of numbers with product #6# and difference #1#. The pair #3#, #2# works, so we find:

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

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How do you factor #6x-x^3-x^2#?

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