Question

Let f(x)= 8x³ + 16x² -15 and g(x) = 2x+1. f(x)/g(x).

4x²+6x-3+12/2x+1. 4x²+6x+3+12/2x+1. 4x²+6x-3-12/2x+1. 4x²+6x+3-12/2x+1​

Answer 1

f(x)/g(x) = 4x^2+6x-3 remainder -12

or

f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)

or

((4x²+6x-3)-12)/(2x+1)

Explanation:

f(x)= 8x³ + 16x² -15

g(x) = 2x+1.

Using long division,

f(x)/g(x) = 4x^2+6x-3 remainder -12