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Lerok [7]
3 years ago
5

Help please :))))))))))

Mathematics
2 answers:
Vikentia [17]3 years ago
4 0
It's going to be 14 also. Hope this helps!
saw5 [17]3 years ago
4 0
CD is the correct answer
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Pls help me!! thank you!!
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Full working out shown from step 1 to last.

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1. Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial i
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Polynomial with real coefficients always has even number of complex roots. We know that one of them is 2 + 5i so the second one will be  2 - 5i and:

f(x)=\big(x-4\big)\big(x-(-8)\big)\big(x-(2+5i)\big)\big(x-(2-5i)\big)=\\\\=(x-4)(x+8)(x-2-5i)(x-2+5i)=\\\\=(x^2-4x+8x-32)(x^2-2x+5ix-2x+4-10i-5ix+10i-25i^2)\\\\=\big(x^2+4x-32\big)\big(x^2-4x+4-25\cdot(-1)\big)=\\\\=(x^2+4x-32)(x^2-4x+29)=\\\\=x^4-4x^3+29x^2+4x^3-16x^2+116x-32x^2+128x-928=\\\\=\boxed{x^4-19x^2+244x-928}

Answer B.
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