Evaluate the following expressions giving the functions g(x)= -4x+3 g(10) is the expression

Mathematics

1 answer:

Artemon [7]3 years ago

8 0

Answer:

g(10) = -37

Step-by-step explanation:

g(x)= -4x+3

g(1) means evaluate when x=10

g(10) = -4*10 +3

g(10) = -40+3

g(10) = -37

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

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ANSWER

Quotient:

$q(x) = 4 {x}^{2} + 3x + 2$

Remainder:

$r(x) = 3x + 1$

EXPLANATION

The given functions are

$f(x) = 12 {x}^{4} + 21 {x}^{3} + 31 {x}^{2} + 21x + 9$

and

$g(x) = 3 {x}^{2} + 3x + 4$

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

$q(x) = 4 {x}^{2} + 3x + 2$

The remainder is

$r(x) = 3x + 1$