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nignag [31]
2 years ago
12

What is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4

Mathematics
1 answer:
givi [52]2 years ago
4 0

Answer:

The remainder will be 6.

Step-by-step explanation:

We have the function:

f(x)=x^4-2x^3-27x^2-9x+18

And we want to find the remainder after it is divided by the binomial:

x+4

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).

Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).

Therefore, <em>a</em> = -4.

Then according to the PRT, the remainder will be:

f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6

The remainder will be 6.

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Answer:

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Step-by-step explanation:

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7 0
2 years ago
What is the answer to -12/-9 is equal to what
Aleksandr [31]
\frac{-12}{-9}=\frac{12}{9}=\frac{12:3}{9:3}=\frac{4}{3}=\frac{3+1}{3}=\frac{3}{3}+\frac{1}{3}=1\frac{1}{3}
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3 years ago
Read 2 more answers
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