# Factor #36x^3+12x^2-72x-24# ?

##### 1 Answer

Dec 21, 2016

#### Answer:

#### Explanation:

Note that the ratio of the

#36x^3+12x^2-72x-24 = 12(3x^3+x^2-6x-2)#

#color(white)(36x^3+12x^2-72x-24) = 12((3x^3+x^2)-(6x+2))#

#color(white)(36x^3+12x^2-72x-24) = 12(x^2(3x+1)-2(3x+1))#

#color(white)(36x^3+12x^2-72x-24) = 12(x^2-2)(3x+1)#

#color(white)(36x^3+12x^2-72x-24) = 12(x^2-(sqrt(2))^2)(3x+1)#

#color(white)(36x^3+12x^2-72x-24) = 12(x-sqrt(2))(x+sqrt(2))(3x+1)#