Question

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

Answer 1

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

Answer 2

Answer:

The correct option is 1.

Step-by-step 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.