SOLUTION: Help me please!!! Find the nth degree polynomial function with real coefficients satisfying the given conditions n-3;-2 and -2+3i are zeros; leading coefficient is 1 Thank y

Question 383484: Help me please!!!
Find the nth degree polynomial function with real coefficients satisfying the given conditions
n-3;-2 and -2+3i are zeros; leading coefficient is 1
Thank you for your assistance in advance.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the nth degree polynomial function with real coefficients satisfying the given conditions
n=3;-2 and -2+3i are zeros; leading coefficient is 1
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If the coefficients are real -2-3i is also a zero.
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f(x) = (x-3)(x+2)((x+2)-3i)((x+2)+3i)
----
f(x) = (x^2-x-6)((x+2)^2+9)
----
f(x) = (x^2-x-6)(x^2+4x+13)

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Cheers,
Stan H.
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