Question

Factor the trinomial below

Answer 1

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

Answer 2

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

A