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The Bring-Jerrard Quintic Equation, its Algebraic Solution by Conversion to Solvable Factorized Form

Samuel Bonaya Buya

I presented a method of solving the Bring-Jerrard quintic equation by converting it to a solvable factorized form. That is, I seek to present a factorized form into which the Bring-Jerrard quintic equation can be reduced. In so doing, I show that the Bring-Jerrard quintic equation is reducible. This means that the Bring-Jerrard quintic equation can be solved in terms lower degree polynomials. The Bring-Jerrard quintic is the trinomial form of the quintic equation. By presenting a reducible form of the BringJerrard quintic I also demonstrate that the quintic equation is in general reducible to solvable lower degree polynomials.