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castortr0y [4]
3 years ago
15

Write a polynomial equation of degree 4 that has the following roots : -1 repeated three times and 4

Mathematics
1 answer:
Radda [10]3 years ago
6 0

Answer:

x^4 -x^3 -9x^2 -11x -4

Step-by-step explanation:

We can use the zero product property

(x-a)  (x-b) (x-c) (x-d)  where a b c d are the roots

(x- -1)(x- -1)(x- -1) ( x-4) since the root -1 is repeated 3 times and 4 is a root

(x+1)(x+1)(x+1) ( x-4)

Foil the first two terms  and the last two terms

(x^2 + 2x+1)( x^2 -3x-4)

Foil again

x^4 -3x^3 -4x^2 +2x^3 -6x^2 -8x +x^2 -3x-4

Combine like terms

x^4 -x^3 -9x^2 -11x -4

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Answer:

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Step-by-step explanation:

4 0
3 years ago
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lukranit [14]
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denis23 [38]

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Step-by-step explanation:

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alexandr402 [8]
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3 0
3 years ago
How do you evaluate sin(13π/12)?
Alekssandra [29.7K]

13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0

Recall the double angle identity,

sin^2(x) = (1 - cos(2x))/2

If we let x = 13pi/12, then

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Then

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