solving a 6-term quintic equation

Published: 06 June 2022
on channel: bprp math basics
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We will solve an awesome quintic equation x^5+x^4+x^3+x^2+x+1=0 via factor by grouping. Notice that this quintic expression has 6 terms. After factoring, we will then be able to solve a quadratic equation by using the quadratic formula and a cubic equation by factoring out the sum of two cubes.

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