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Module 1: Polynomial equations

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The Fundamental Theroem of Algebra

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XSIQ
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Advanced Mathematics - The Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra

This states that "a polynomial of degree 'n' has 'n' linear factors over
C". The previous example illustrates this in that the cubic polynomial has
three linear factors over C.

This states that if P(z) is a polynomial with real coefficients, the
complex roots [1] of P(z) = 0 occur in conjugate pairs. [2]

In the previous example the complex roots were 1 + i and 1 - i. These are
a conjugate pair in that (1 + i)(1 - i) = 1 - i = 1 + 1 = 2

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[2] http://alison.com/#