Factoring polynomials into linear quadratic factors | Linear Algebra MATH1141 | N J Wildberger

Following on from the (necessarily approximate) Fundamental theorem of Algebra, we investigate real polynomials and their (necessarily approximate) factorization into linear and quadratic factors. To clarify this we look more carefully at cyclotomic factorizations of z^n-1 and the connections with roots of unity.

We also explain the computational hurdles in applying these theoretical results to actual real polynomials.

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