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scoundrel [369]
3 years ago
15

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

tandard form. (5 points) 4, -8, and 2 + 3i
Mathematics
1 answer:
Oksanka [162]3 years ago
4 0
We need a matching complex to 2+3i. The conjugate is 2-3i and the two factors are (x-2-3i)(x-2+3i)=(x²-4x+4+9)=x²-4x+13.
The polynomial is (x-4)(x+8)(x²-4x+13)=(x²+4x-32)(x²-4x+13)=
x⁴-4x³+13x²
+4x³-16x²+ 52x
-32x²+128x-416
x⁴-35x²+180x-416 is the 4th degree polynomial.
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I need to know if this H(3,2),J(4,1),K(-2,-4),M(-1,-5) is parallel perpendicular or neither I need to show my work and write my
Shkiper50 [21]

Answer:

Step-by-step explanation:

H(3,2)  & J(4, 1)

Slope = \dfrac{y_{2} -y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{1-2}{4-3}\\\\\\=\dfrac{-1}{1}\\\\= -1

K(-2,-4)  & M(-1 , -5)

Slope =\dfrac{-5-[-4]}{-1-[-2]}\\\\=\dfrac{-5+4}{-1+2}\\\\= \dfrac{-1}{1}\\\\\\= -1

Line HJ and KM have same slopes. So, they are parallel

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What is the value of y?<br> 54"<br> A. 126°<br> B. 730<br> C. 63°<br> D. 540
Studentka2010 [4]

Answer: 63 degrees.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Therefore: 54 + y + y = 180

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Therefore y = 63 degrees.

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-13x=78
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