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# polynomial problem

0
50
1

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

5, -3, and -1 + 3i

Feb 16, 2020

$$\text{What they want you to recognize here is that if a polynomial with real coefficients has a complex zero}\\ \text{Then it's conjugate is also a zero}\\ \text{so we have }\\ p(x) = (x-5)(x+3)(x-(-1+3i))(x-(-1-3i)) = x^4-9 x^2-50 x-150$$