Question

Which of the following is the factored form of the goven equation? 6x² + 2x - 8 = 0

A. 2(3x+4)(x+1) = 0
B. (6x+1)(x-8)=0
C. 2(3x+4)(x-1)=0

Answer 1

C

Explanation:

6x^2 + 2x - 8

Multiply the (6) to the -(8) to get x^2 by itself.

x^2 + 2x - 48

Solve -

(x-6)(x+8) = x^2 + 2x - 48

However, you must divide out the (6) you multiplied.

(x-6/6) =

(x-1)

(x+8/6) =

(3x + 4)

Therefore, 2(3x + 4)(x-1) is your answer.

EDIT - At the beginning of the equation it is possible to divide (2) out of the equation, this is where the (2) at the end comes from.