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

f(x) = 4x4 + 12x3 + 17x2 + 19x + 6

is divided by g(x) = 4x2 + 4x + 5 .

ANSWER

Quotient:



Remainder:



EXPLANATION

The given functions are



and



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

We perform the long division as shown in the attachment.

The quotient is



The remainder is

The answer would be c

The answer would be -3.9> -4.5