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Gelneren [198K]
3 years ago
10

Use remainder theorem to find the remainder when the function f(x) = x^3 + 5x^2 - 7x is divided by (x+4)

Mathematics
2 answers:
murzikaleks [220]3 years ago
6 0

Answer:

Remainder is 44.

Step-by-step explanation:

Remainder theorem says that if f(x) is divided by the linear polynomial (x-a) , then remainder is f(a)

In given question , f(x) = x³ + 5x² -7x

linear polynomial is (x+4) = (x - (-4) )

so from remainder theorem , remainder = f(-4) = (-4)³ + 5 ( -4)² - 7(-4)

= -64 + 80+28=44

Hence Remainder is 44.

Hatshy [7]3 years ago
5 0

Answer:

44 is the correct one



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How to solve 5(x+10) + 2x
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Expand

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What are the possible rational zeros of f(x)=x^4+2x^3-3x^2-4x+20?
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8 0
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Calculate the average rate of change over the interval 2
Morgarella [4.7K]

Answer:

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5:        3

y = 3x^2 + 1:     21

y = 3^x:             78

<u />

Step-by-step explanation:

2<= x <= 5

Average rate of change over the interval 2<= x <= 5:

<u>y = 3x + 5</u>

y(5) = 3(5) + 5 = 20

y(2) = 3(2) + 5 = 11

Average rate of change = (20 - 11)/(5-2) = 9/3 = <u>3</u>

<u />

<u>y = 3x^2 + 1</u>

y(5) = 3(5^2) + 1 = 75 + 1 = 76

y(2) = 3(2^2) + 1= 13

Average rate of change = (76 - 13)/(5-2) = 63/3 = <u>21</u>

<u />

<u>y = 3^x</u>

y(5) = 3^5 = 243

y(2) = 3^2 =9

Average rate of change = (243-9)/(5-2) = 234/3 =<u> 78</u>

8 0
3 years ago
For anyone who needs a couple extra points
ratelena [41]
The answer is 2 bro how do you not know
8 0
3 years ago
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