SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree; 5; zeros: 9 ; -i ; -6+i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree; 5; zeros: 9 ; -i ; -6+i      Log On


   

Question 1079213: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree; 5; zeros: 9 ; -i ; -6+i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Real coefficients means complex roots occur in complex conjugate pairs.
f%28x%29=%28x-9%29%28x-i%29%28x%2Bi%29%28x-%28-6%2Bi%29%29%28x-%28-6-i%29%29
f%28x%29=%28x-9%29%28x%5E2%2B1%29%28x%5E2%2B12x%2B37%29
f%28x%29=%28x%5E3-9x%5E2%2Bx-9%29%28x%5E2%2B12x%2B37%29
highlight%28f%28x%29=x%5E5%2B3x%5E4-70x%5E3-330x%5E2-71x-333%29