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Question 114854This question is from textbook
: I need help with this problem. I have included the theorem on conjugate pair of zeros of a poly.
This is the theorem on Conjugate pair of Zeros of
a Poly:
If a poly f(x) of degree n>1 has real coef
and if z=a+bi with b (not equal) to 0is a complex
zero of F(x), then the conjugate z=a-bi is also a
zero of f(x).
The question is:
The Poly f(x)= x^3-ix^2+2ix+2 has the complex
number i as a zero; however, the conjugate
-i of I is not a zero. Why doesn't this result
contradict the theorem on conjugate pair of Zeroes
of a poly?
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Poly f(x)= x^3-ix^2+2ix+2 has the complex
number i as a zero; however, the conjugate
-i of I is not a zero. Why doesn't this result
contradict the theorem on conjugate pair of Zeroes
of a poly?
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Because that particular function does not have Real
Number coefficients; so the complex zeroes do not
have to come in conjugate pairs.
Cheers,
stan H.
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