Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed.

5 (multiplicity 2), 7+i (multiplicity 1)

Question

Mathematics

Zachary Hebert

30 May, 16:54

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed.

5 (multiplicity 2), 7+i (multiplicity 1)

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Joy Holloway · Answer 1

Required polynomial = (x - 5) ^2 (x - 7 - i)) (x - 7 + i)) = (x^2 - 10x + 25) (x^2 - 7x + ix - 7x + 49 - 7i - ix + 7i + 1) = (x^2 - 10x + 25) (x^2 - 14x + 50) = x^4 - 24x^3 + 215x^2 - 850x + 1250

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed.5 (multiplicity 2), 7+i (multiplicity 1)

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed.

5 (multiplicity 2), 7+i (multiplicity 1)