When you divide the polynomial 2x^3 - 3x^2 - 18x - 8 by x - 4 using long division, you get:

Question

A: 2x^2 - 5x - 2

B: 2x^2 - 11x - 62, R -256

C: 2x^2 - 5x + 2

D: 2x^2 + 5x + 2, R -4

E: 2x^2 + 5x + 2

Answer 1

Greetings! Lets solve this shall we ?

So, we must find out what the quotient would be if we divide 2x³-3x²-18x-8 by (x-4). We can also use Synthetic Division such that

4 |--------------------------------------------------

2 -3 -18 -8

↓ 8 20 8

-------------------------------------------

2 5 2 0

Which translates to E. 2x²+5x+2

I hope this helped!