type_speed
11-27-2006, 06:31 PM
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-Bi). (complex roots)
All I've figured out so far is to utilize the Conjugate roots theorem but our professor gave us a hint that we should use the remainder theorem or something. Basically I need to prove why both roots exists in a function
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-Bi). (complex roots)
All I've figured out so far is to utilize the Conjugate roots theorem but our professor gave us a hint that we should use the remainder theorem or something. Basically I need to prove why both roots exists in a function