SOLUTION: For a polynomial f(x) with real coefficients having given the degree and zeros. Degree 4; zeros:-2-5i; 5 multiplicity 2

Question 571036: For a polynomial f(x) with real coefficients having given the degree and zeros.
Degree 4; zeros:-2-5i; 5 multiplicity 2
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
The conjugate of -2-5i is -2+5i. We first get a quadratic equation having -2-5i and -2+5i as roots.
sum = (-2-5i) + (-2+5i) = -4
product = (-2-5i)(-2+5i) = 29

The quadratic equation is
Next, we get the quadratic equation having 5 as a double root.
The quadratic equation is
We multiply the two quadratic equations to get the polynomial of degree 4.

Answer:
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