We have devoted chapters to quadratic, cubic, and quartic polynomials. This pattern cannot continue through all degrees, and not just because the resulting book would be infinitely long. It turns out that results of the sort we have obtained do not exist for polynomials in degree greater than four. Therefore, we will content ourselves with a survey of some central results about higher-degree polynomials, combining proof sketches (or no proofs at all) with historical discussions. The chapter ends with a proof of the fundamental theorem of algebra.

We have obtained the quardic formula, Cardano’ formula, and Euler’s formula for solutions

EP - 216 ET - 1 PB - Mathematical Association of America PY - 2013 SN - 9780883857830 SP - 179 T2 - Beyond the Quadratic Formula UR - http://www.jstor.org/stable/10.4169/j.ctt5hh9sp.10 Y2 - 2021/09/21/ ER -