What the answer to this

(2 x + 5) (x - 1) (x + 7) thus the answer is D.)

Step-by-step explanation:

Factor the following:

2 x^3 + 17 x^2 + 16 x - 35

The possible rational roots of 2 x^3 + 17 x^2 + 16 x - 35 are x = ± 1/2, x = ± 5/2, x = ± 7/2, x = ± 35/2, x = ± 1, x = ± 5, x = ± 7, x = ± 35. Of these, x = -5/2, x = 1 and x = -7 are roots. This gives 2 x + 5, x - 1 and x + 7 as all factors:

(2 x + 5) (x - 1) (x + 7)