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Monica [59]
3 years ago
7

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

tandard form. 3, -13, and 5 + 4i
Mathematics
1 answer:
myrzilka [38]3 years ago
5 0
Complex zeros exist in conjugate pairs so the fourth zero is 5 - 4i
So we have

P(x)  = ( x - 3)(x + 13)(x - (5 + 4i))(x - (5 - 4i))

   = (x - 3)(x + 13)( x - 5 - 4i)(x - 5 + 4i)

  = (x^2 + 10x - 39)(x^2 - 5x + 4ix - 5x + 25 -20i - 4ix  + 20i -16i^2)

 = (x^2 + 10x - 39)(x^2 - 10x + 41)

= x^4 - 10x^3 + 41x^2 + 10x^3  - 100x^2 + 410x  - 39x^2 + 390x - 1599

=  x^4 - 98x^2 + 800x - 1599  Answer
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Tpy6a [65]

Answer:

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Step-by-step explanation:

this is because if you half it you get 5/120

then divide each by 5 to get 1/24

hope it helps!!

7 0
3 years ago
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vlabodo [156]
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3 0
3 years ago
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Five and one half of 2 and one third is what number?
labwork [276]

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = 5\dfrac{1}{2}

2 and one third = 2\dfrac{1}{3}

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

5\dfrac{1}{2}\times 2\dfrac{1}{3}

=\dfrac{10+1}{2}\times \dfrac{6+1}{3}

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8 0
2 years ago
7 (x + 3) - 3(4x + 9) = 14
Paul [167]

Answer:

-4

Step-by-step explanation:

5 0
3 years ago
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Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
taurus [48]

Answer:

4(m+4)

Step-by-step explanation:

4m+16

Rewriting

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Factor out 4

4(m+4)

6 0
3 years ago
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