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xeze [42]
3 years ago
11

Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0
Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250. 

According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a). 
In this case, 
f(x)=x^3-75x+250 
(x+a)=(x+10) 
Therefore, the remainder f(-a)=f(-10) 

=x^3-75x+250 
=(-10)^3-(75*-10)+250 
=-1000+750+250 
=1000-1000 
=0. 
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.
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Answer: 8

Step-by-step explanation:

1. Rewrite the equation:

-2x^3 - 3x^2 + 4     x = -2

2. Plug in the value of x, -2

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3. Use order of operations (PEMDAS):

-2(-8) - 3(4) + 4

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3 years ago
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3 years ago
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defon

Answer:

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Step-by-step explanation:

Jack has two jobs

The first one, he works at a gas station where he earns $11/hr, he works for 8 hours in a week

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Therefore the total money Jack earns in a week can be calculated as follows

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8 0
3 years ago
Find the area of each figure. Round to the nearest hundredth if needed.
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Answer:

<h3>#1</h3>

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<h3>#2</h3>

<u>Rectangle</u>

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  • A = 2 yd * 3.1 yd = 6.2 yd²
<h3>#3</h3>

<u>Equilateral triangle</u>

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<h3>#4</h3>

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Leno4ka [110]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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