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igor_vitrenko [27]
3 years ago
9

If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?

Mathematics
1 answer:
Olin [163]3 years ago
6 0

By the polynomial remainder theorem, the remainder is

<em>f</em> (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76

(The theorem says a polynomial <em>p(x)</em> has remainder <em>p(c)</em> upon dividing it by <em>x</em> - <em>c</em>.)

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2x2 + 2x-4?
nexus9112 [7]
Answer:

2x^2 +2x-4
——————
2x^2-4x+2

Factor out 2 from the expression

2(x^2+x-2)
—————-
2(x^2-2x+1)

Write x as a difference

2(x^2x-x-2)
—————-
2(x^2-2x+1)

Use a^2-2ab+b^2=(ab)^2

2(x^2x-x-2)
—————-
2(x-1)^2

Reduce the fraction with 2

x^2x-x-2
—————-
(x-1)^2

Factor out x from the expression

X*(x^2)-x-2
—————-
(x-1)^2

Factor out negative sign from the expression

X*(x+2)-(x-2)
—————-
(x-1)^2

Factor out x+2 from the expression

(x+2)(x-1)
—————-
(x-1)^2

Simplify the expression

x+2
——
x-1

6 0
3 years ago
The scatter plot shows the relationship between the time since Martha has left work and the distance she is from home.
telo118 [61]
The correct answer is A.

The independent variable is time and the dependent variable is distance; this means the slope tells us how far she goes per minute.  Since the slope is negative and we are referring to her distance from her house, this means the distance from her house is decreasing, which means she is getting closer to her house.
5 0
3 years ago
Which is greater, 300 kelvins or 25 degrees Celsius? Show your work
Mademuasel [1]
300 kelvin is greater.

300 kelvin equals approximately 26.85°C
6 0
3 years ago
The function f(x)=200(1.4)^t gives the approximate number of fish in a large pond after t years. Select all of the true statemen
tatyana61 [14]
I think the answer would be C
5 0
3 years ago
Need help! With this question! Thank you
slava [35]

Answer:

M = 42

Step-by-step explanation:

Ooo..I'm actually good at these!!

So its simple...All you do is take the equation and divide both sides by 4.5

When we divide, we get m alone.

4.5m = 189

/4.5       /4.5

m = 42

Hope this helps!! Can I have brainliest please?!?

-Makenna ;)

8 0
3 years ago
Read 2 more answers
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