Question

20x^3+8x^2-30x-12 Rewrite the expression as the product of two binomials.

Answer 1

`(10x+4)(2x^2 -3)`

Explanation:

`20x^3+8x^2-30x-12`

Rewrite expression (grouping them).

`20x^3-30x+8x^2-12`

Factor the two groups.

`10x(2x^2 -3)+4(2x^2 -3)`

Take the common factor from both groups.

`(10x+4)(2x^2 -3)`

Answer 2

see below

Explanation:

20x^3+8x^2-30x-12

Factor out the greatest common factor 2

2 (10x^3+4x^2-15x-6)

Then factor by grouping

2 ( 10x^3+4x^2 -15x-6)

Factor out 2 x^2 from the first group and -3 from the second group

2 ( 2x^2( 5x+2) -3( 5x+2))

Factor out ( 5x+2)

2 ( 5x+2) (2x^2-3)

The 2 can go in either term to get binomials

( 10x +4) (2x^2-3)

or ( 5x+2) ( 4x^2 -6)