Determine the quotient, q(x), and remainder, r(x) when

f(x) = 8x4 + 16x3 + 26x2 + 22x + 11

is divided by g(x) = 2x2 + 2x + 2 .

ANSWER

Quotient:

Remainder:

EXPLANATION

The given functions are:

and

We want to find the quotient and remainder when f(x) is divided by g(x).

We carry out the long division as shown in the attachment .

The quotient is

and the remainder is

i believe the answer is c.