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arlik [135]
3 years ago
5

What is a cubic polynomial function in standard form with zeros 1,1,and -3?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:

f(x) = x³ + x² - 5x + 3

Step-by-step explanation:

The cubic polynomial has zeros at 1, 1, - 3.

Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.

Hence, we can write the polynomial as a function of x as

f(x) = (x - 1)(x - 1)(x + 3)

⇒ f(x) = (x² - 2x + 1)(x + 3)

⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3

⇒ f(x) = x³ + x² - 5x + 3

So, this is the cubic polynomial function in standard form. (Answer)

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a hose fills a hot tub at a rate of 3.59 gallons per minute. how many hours will it take to fill a 309 gallon hot tub​
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Answer:

about 1.43 hours.

Step-by-step explanation:

You can use your original equation to find how many minutes it takes to fill up the 309 gallon hot tub.

3.59x=309

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Divide both sides by 3.59 to isolate x and you get x=86.0724234.

That is how many minutes it takes.

The question asks for how many hours, so that divide 86.0724234 by 60 since there are 60 minutes in an hour, and you get 1.43454039 or 1.43 hours.

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Hope my answer helps!

6 0
3 years ago
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3 0
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How do you simplify 11 to the power of 6
Misha Larkins [42]

Answer:

1771561

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You are referring to

11 {}^{6}

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