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

f(x) = 12x4 + 22x3 + 30x2 + 28x + 8

is divided by g(x) = 4x2 + 2x + 6 .

ANSWER

Quotient:

Remainder:

EXPLANATION

The given function is:

and

We want to determine 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

and the remainder is

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step-by-step explanation: