Respuesta :

kudzordzifrancis
ANSWER

Quotient:

[tex]q(x) = 4 {x}^{2} + 3x + 2[/tex]

Remainder:

[tex]r(x) = 3x + 1[/tex]

EXPLANATION

The given functions are

[tex]f(x) = 12 {x}^{4} + 21 {x}^{3} + 31 {x}^{2} + 21x + 9[/tex]

and

[tex]g(x) = 3 {x}^{2} + 3x + 4[/tex]

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

We perform the long division as shown in the attachment.

The quotient is

[tex]q(x) = 4 {x}^{2} + 3x + 2[/tex]

The remainder is

[tex]r(x) = 3x + 1[/tex]
Ver imagen kudzordzifrancis

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