Question

Divide 2x2 + 17x + 35 by x + 5.

a. x + 7

b. 2x + 7

c. x + 27

d. 2x + 27

Answer 1

2x+7

Explanation:

I'm going to show you my work because I tried explaining step by step but it sounded really confusing.

Answer 2

the answer is b. I always use long division to do this kind of problem.
2x(x+5) = 2x^2 + 10x --> 2x^2+17x - 2x^2+10x= 7x
drag 35 down, then you get, 7x+35. (x+5)7=7x+35.
Therefore (2x^3+17x+35)/(x+5) = 2x+7