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**Need Assistance w/ existence of conjugate roots in polynomial**

Prove:

given that f(x) = Anx^n + An-1X^n-1+ ...A1X + A0 , and An does not = 0

=> if f(x) has a root of the form (A+Bi), then it must have a root of the form (A-iB). (complex roots)

So far I've come up with the conjugate roots theorem to help me where it states that if a function f(x) is given with real coefficients then the conjugate must exist also. My professor suggested I try the Remainder Theorem??

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