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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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Which of the following is the graph of (x-2)^2 + (y+1)^2 = 9? (Brainly doesn't seem to want to let me put up pictures. Sorry guy
forsale [732]
If you want to cheat, paste the formula in Wolfram Alpha. However, this one is not that difficult. From the fact that x and y are squared you can infer that this is a circle. The 9 reveals that the radius r^2 is 9, so radius is 3.

The (x-2) tells us that the circle is shifted to the right by 2. Likewise, y+1 shifts it down by one. So the center is at (2,-1). If the equation would be x^2 + y^2 = 9, you'd have a circle exactly on the origin.

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3 years ago
Anyone? Pleasee help
xeze [42]

Answer:

Angle 1 = 128

Angle 2 = 52

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Angle 4 = 60

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Step-by-step explanation:

Had to use supplementary theorem, vertical angles theorem, and that the angles of a triangle add up to 180.

I hope this helps!

8 0
3 years ago
A cylindrical water tank has a diameter of 5.3 meters and a height of 9 meters. What is the maximum volume that the water tank c
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Answer:

198.56m^{3

Step-by-step explanation:

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3 years ago
If f(x) = -x2 + 6x, what is f(-3)?
Sever21 [200]

Answer:

-12

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