Mathematics: Based on the polynomial remainder theorem, what is the value of the function when x = 4? f(x)=x4−2x3+5x2−20x−4

Based on the polynomial remainder theorem, what is

Ответ:

valentinethevast

04.01.2022

ANSWER

The remainder is

124

EXPLANATION

According to the remainder theorem, if

$f(x) = {x}^{4} - 2 {x}^{3} + 5 {x}^{2} - 20x - 4$

is divided by

(x - 4)

then the remainder is given by

f(4)

So we substitute
x = 4

into the given function to get,

$f(4) = {4}^{4} - 2 {(4)}^{3} + 5 {(4)}^{2} - 20(4) - 4$

We evaluate to get,

f(4) = 256- 2 {(64)} + 5 {(16)} - 20(4) - 4

This will simplify to,

f(4) = 256- 128 + 80- 80 - 4

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Ответ:

princess42044

23.08.2020

Mathematics

u got pics

Step-by-step explanation:

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Based on the polynomial remainder theorem, what is the value of the function when x = 4? f(x)=x4−2x3+5x2−20x−4

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