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kati45 [8]
3 years ago
13

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

Mathematics
1 answer:
Fed [463]3 years ago
5 0
ANSWER

Quotient:

q(x) = {x}^{2} - 4x + 7\\

Remainder:

r(x) = 11x - 29

EXPLANATION

The given functions are

f(x) = 4 {x}^{4} + 12 {x}^{3} + 17 {x}^{2} + 19x + 6

and

g(x) = 4 {x}^{2} + 4x + 5

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

q(x) = {x}^{2} - 4x + 7

The remainder is

r(x) = 11x - 29

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