Question

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

factor by grouping

Answer 1

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

Explanation:

`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

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

Explanation:

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)`