Finding zeroes of polynomials, Algebra

We've been talking regarding zeroes of polynomial and why we require them for a couple of sections now. However, we haven't really talked regarding how to actually determine them for polynomials of degree greater than two. That is the topic of this section.  . Generally, determining all the zeroes of any polynomial is a rather difficult procedure.  In this section we will give a procedure that will determine all rational (i.e. integer or fractional) zeroes of a polynomial.  We will be capable to use the procedure for finding all the zeroes of a polynomial provided all however at most two of the zeroes are rational. If more than two zeroes are not rational then this procedure will not determine all of the zeroes.

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