Question

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

6x 2 + 2x - 8 = 0

Answer 1

the answer is x=−4/3 or x=1

Answer 2

The factored form of the equation
`6x^(2)+2x-8=0` is
`2(3x+4)(x-1)=0`

Explanation:

Given equation is
`6x^(2)+2x-8=0`

Above equation can be written as

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

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

Taking (3x+4) common from the above equation, we get

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

Again taking 2 common out of (2x-2) we get

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

Thus the factored form of the given equation is
`2(3x+4)(x-1)=0`