Question

Factor the trinomial below

6x^2-9x-6


A. 3(2x+1)(x-2)

B. 3(2x=6)(x-1)

C. 3(2x+2)(x-1)

D. 3(2x+1)(x-6)

Answer 1

3(2x^2 - 3x-2)
3(x-2)(2x+1)

A

Answer 2

For this case we must factor the following expression:
`6x ^ 2-9x-6`

We test the options:

Option A:

`3 (2x + 1) (x-2) =`

We apply distributive property for the first parenthesis:

`(6x + 3) (x-2) =`

We apply distributive property of the form:

`(a + b) (c + d) = ac + ad + bc + bd`

`6x ^ 2-12x + 3x-6 =`

Different signs are added and the sign of the major is placed.

`6x ^ 2-9x-6`

So,
`3 (2x + 1) (x-2) = 6x ^ 2-9x-6`

Answer:

Option A