Hey, if anybody it would be great and show work thanks. #3x^3+15x^2-12x^2-60x#. ?

Question

factor by grouping

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Answer 1 · 2017-04-13T18:48:48

Assuming the questioner wants solutions to #3x^3+15x^2-12x^2-60x=0#, the method is as follows.

#3x^3+3x^2-60x=0#

#x(3x^3+3x-60)=0#

#x=0#

#3x^2+3x-60=0#

#x=(-3+-sqrt(9-4(3)(-60)))/(2(3))=(-3+-sqrt729)/6=(-3+-27)/6#

#x=-5, 4#

#x_1=0#

#x_2=4#

#x_3=-5#

Answer 2 · 2017-04-13T21:00:57

The factors are #3x(x+5)(x-4)#

From the terms in the expression, it is possible that the question is to find the factors of the expression.

We can group the four factors into two pairs:

#(3x^3 +15x^2 ) + (-12x^2 -60x)" "larr# common factors

#=3x^2(x+5)-12x(x+5)"larr# common factor and bracket

#=3x(x+5)(x-4)#