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How do you factor #x^4+7x^3+12x^2#?

1 Answer

Oct 28, 2015

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

Explanation:

Well firstly;(remove #x^2#)

#x^2(x^2 +7x + 12)#
step 2; split the middle term
Sum = 7
product = 12
Possible factors;
#(4,3)#

#x^2[ (x^2 +4x + 3x + 12)]#
#x^2[ x(x + 4) + 3(x + 4)]#
#x^2 (x + 3)(x + 4)#

Tadaaa!! all done

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