SOLUTION: Can anyone help me? Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 8;-i, -9+i

Algebra ->  Rational-functions -> SOLUTION: Can anyone help me? Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 8;-i, -9+i      Log On


   

Question 970243: Can anyone help me?
Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 5; zeros: 8;-i, -9+i
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!

Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 5; zeros: 8;-i, -9+i
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Complex zeroes are in conjugate pairs.
Zeroes are 8, -i, +i, -9+i, -9-i
f(x) = (x-8)*(x-i)*(x+i)*(x+9-i)*(x+9+i)
Multiply that and you're done.