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Lana71 [14]
3 years ago
9

Construct a polynomial function with the following properties: third degree, only real coefficients, −3 and 3+i are two of the z

eros, y-intercept is −90.
Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

\boxed{-3(x+3)(x^2-6x+10)}

Step-by-step explanation:

Hello,

As the polynomial has only real coefficients, it means that 3-i is a zero too, because we apply the Conjugate Zeros Theorem.

It means that we can write the expression as below, k being a real number that we will have to identify.

k(x+3)(x-3-i)(x-3+i)=k(x+3)((x-3)^2-i^2)\\\\=k(x+3)(x^2-6x+9+1)\\\\=k(x+3)(x^2-6x+10)

And for x = 0, y = -90 so we can write

-90=k*3*10, meaning that k=-3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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8 0
2 years ago
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makkiz [27]

Answer:

  • x = - 9

Step-by-step explanation:

<u>In order to find the vertical asymptotes make the denominator equal to zero and solve:</u>

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6 0
2 years ago
7(z+2)-3z=44 quiero que me ayuden a resolver este problema por favor
slega [8]
No hablo expanol

7(z+2)-3z=44
7z+14-3z=44
7z-3z+14=44
4z+14=44
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4z=30
1/4  1/4
(4z)/4=30/4
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5 0
3 years ago
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Fittoniya [83]
Yes it proportional because they all function of y=3x
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6 0
3 years ago
Find the length of diagonal of square land having side of length 50m​
Law Incorporation [45]

Answer:

70.7

Step-by-step explanation:

a2 +b2 = c2

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c2 = 2500+2500

c = \sqrt{5000} = 70.7

I hope im right!

8 0
3 years ago
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