Category:Complex Roots of Polynomial with Real Coefficients occur in Conjugate Pairs
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This category contains pages concerning Complex Roots of Polynomial with Real Coefficients occur in Conjugate Pairs:
Let $\map f z = a_n z^n + a_{n - 1} z^{n - 1} + \cdots + a_1 z + a_0$ be a polynomial over complex numbers where $a_0, \ldots, a_n$ are real numbers.
Let $\alpha \in \C$ be a root of $f$.
Then $\overline \alpha$ is also a root of $f$, where $\overline \alpha$ denotes the complex conjugate of $\alpha$.
That is, all complex roots of $f$ appear as conjugate pairs.
Pages in category "Complex Roots of Polynomial with Real Coefficients occur in Conjugate Pairs"
The following 3 pages are in this category, out of 3 total.