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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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Nine increased by the product of a number and 2 is less than or equal to 27.
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Answer:

x≤9

Step-by-step explanation:

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1) Subtract both sides by 9:

2x≤18

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a bank charges a simple interest of 3.5% on a loan of $5000 to be paid back over a period of 3 years. How much will the borrower
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Fiona is gathering signatures on a petition to save the Orangutans. If she gets 4 times the number of signatures that she has ri
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Answer: 2000

Step-by-step explanation:

Set up equation

The total signatures she needs is 4 times as many as she has. From this we can create the equation (4n = total signatures)

We know that the total number of signatures is 8000, so plug this into the equation to get 4n = 8000

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Final Answer

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Answer:

B

Step-by-step explanation:

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