Conjugate Pair Theorem Proof

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  1. ONEEZE
  2. College
  3. Algebra
  4. Mathematics
  5. Math
  6. Conjugate
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So this was proven by application of known "properties of complex numbers" and the "properties of conjugates." The proof of the theorem seems begin based around the fact/property that a real number is a complex number with a zero for the imaginary part of the complex number (i.e. 0i), and meaning a real number is its own complex conjugate. Zero is a real number, so we can say zero is also a complex number, and is also a complex conjugate. After that, the properties are applied step by step to show that P(z) = P(conj. z). Very nice. (Just throwing this out there for any viewer that wants another point of view.)

billygraham