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

Question 757294: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 5; zeros: 9, -i, -8+i

Found 2 solutions by stanbon, tommyt3rd:
Answer by stanbon(75887) (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: 9, -i, -8+i
-----
f(x) = (x-9)(x+i)(x-i)(x+8 - i)(x+8 +i)
----
= (x-9)(x^2+1)((x+8)^2+1)
----
= (x-9)(x^2+1)(x^2 + 16x + 65)
------------
etc.
Cheers,
Stan h.
================
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
The general polynomial with these roots is:

let a=1, then

:)
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