SOLUTION: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -14, and 5 + 8i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -14, and 5 + 8i      Log On


   

Question 1096658: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
4, -14, and 5 + 8i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Real coefficients means complex roots come in complex conjugate pairs,
f%28x%29=%28x-4%29%28x%2B14%29%28x-%285%2B8i%29%29%28x-%285-8i%29%29
f%28x%29=%28x%5E2%2B10x-56%29%28x%5E2-10x%2B89%29
f%28x%29=%28x%5E2%2B10x-56%29%28x%5E2-10x%2B89%29
f%28x%29=x%5E4-67x%5E3%2B1450x-4984