SOLUTION: Find an​ nth-degree polynomial function with real​ coefficients, a leading coefficient of​ 1, and satisfying the given conditions n=3; 5 and 3i are zeros

Algebra ->  Rational-functions -> SOLUTION: Find an​ nth-degree polynomial function with real​ coefficients, a leading coefficient of​ 1, and satisfying the given conditions n=3; 5 and 3i are zeros       Log On


   

Question 1057649: Find an​ nth-degree polynomial function with real​ coefficients, a leading coefficient of​ 1, and satisfying the given conditions
n=3; 5 and 3i are zeros
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=%281%29%28x-5%29%28x-3i%29%28x%2B3i%29
f%28x%29=%28x-5%29%28x%5E2%2B9%29
f%28x%29=x%5E3%2B9x-5x%5E2-45
f%28x%29=x%5E3-5x%5E2%2B9x-45