Respuesta :

kudzordzifrancis
ANSWER

Quotient:

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

Remainder:

[tex]r(x) = 4x + 3[/tex]

EXPLANATION

The given functions are:

[tex]f(x) = 12 {x}^{4} + 24 {x}^{3} + 39 {x }^{2} + 31x + 21[/tex]

and

[tex]g(x) = 6 {x}^{2} + 3x + 6[/tex]

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

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

and the remainder is

[tex]r(x) = 4x + 3[/tex]
Ver imagen kudzordzifrancis