SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros Degree 4; zeros: 5, multiplicity 2 & 6i Find Polynomial:

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros Degree 4; zeros: 5, multiplicity 2 & 6i Find Polynomial:       Log On


   

Question 966500: Form a polynomial f(x) with real coefficients having the given degree and zeros
Degree 4; zeros: 5, multiplicity 2 & 6i
Find Polynomial:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!

The polynomial

f%28x%29 = %28x-5%29%5E2.%28x-6i%29.%28x%2B6i%29 = %28x-5%29%5E2.%28x%5E2%2B36%29

has real coefficients,  the degree 4,  the root  5  of multiplicity  2  and the root  6i.