Determine the factors of 3x^2 + 10x - 8.

(3x - 8) (x + 1)

(3x - 1) (x + 8)

(3x - 4) (x + 2)

(3x - 2) (x + 4)

Option 4

Step-by-step explanation:

3x² + 10x - 8 = 3x² + 12x - 2x - 2*4

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

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

(3x - 2) (x + 4).

Step-by-step explanation:

3x^2 + 10x - 8

3 + - 8 = - 24.

We need 2 numbers whose product is - 24 and whose sum is + 10.

They are - 2 and 12, so we write:

3x^2 + 12x - 2x - 8

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

= (3x - 2) (x + 4).