Answer:
4x^2 +7x-7/2
Step-by-step explanation:
f(x) = 8x3 + 16x2 − 15 and
g(x) = 2x + 1.
f of x over g of x. = f(x)/g(x)
(8x3 + 16x2 +0− 15 )/2x+1
We add 0 because we need it coefficient to stand for the coefficient of x
Using long division
4x^2 +7x-7/2
2x+1|8x^3 + 16x^2 +0 − 15
- 8x^3+4x^2
0 +14x^2+0(it drop down)
-14x^2-7x
0-7x-15(it drop down)
-(-7x)-(7/2)
-(23/2)
-15-(-7/2)
-15+7/2 = -30+7/2 = -23/2
4x^2 +7x-7/2 is the quotient remainder (-23/2)
