Question

Which of the following is the factored form of the given equation?

6x^2 + 2x - 8 = 0

2(3x + 4)(x - 1) = 0
(6x + 1)(x - 8) = 0
2(3x + 4)(x + 1) = 0

Answer 1

6x^2 + 2x - 8 = 0
2(3x^2 + x - 4) = 0
2(3x + 4)(x - 1) = 0 <===

Answer 2

The correct option is 1.

Explanation:

The given equation is

`6x^2+2x-8=0`

Taking out the common factor.

`2(3x^2+x-4)=0`

Middle term can be written as 4x-3x, to find the factored form of the given equation.

`2(3x^2+4x-3x-4)=0`

`2(x(3x+4)-(3x+4))=0`

`2(3x+4)(x-1)=0`

The factored form of the given equation is 2(3x+4)(x-1)=0. Therefore the correct option is 1.