Question

What is the factored form of the expression? 3x 2 + 8x – 16

A. (3x + 4)(x – 4)
B. (3x + 4)(x + 4)
C. (3x – 4)(x – 4)
D. (3x – 4)(x + 4)

Answer 1

The factored form of the expression 3x + 8x – 16 is (3x -4) (x + 4) .

Option (D) is correct.

Explanation:

As the expression given in the question be.

`3x^(2) +8x -16 = 0`

`3x^(2) +12x - 4x -16 = 0`

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

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

Therefore the factored form of the expression 3x + 8x – 16 is (3x -4) (x + 4) .

Option (D) is correct.

Answer 2

The correct answer is D. (3x-4)(x+4).