Verified Answer :

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

Answer:

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

Option (D) is correct.

Step-by-step 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.