SV #1: Unit 7 Concept 10 - Finding all real and imaginary zeroes of a polynomial

      This problem is about solving for zeroes and factorizing the polynomial: -35x^4+89x^3-110x^2+63x-7. The zeroes for this type of polynomial will result to be real and imaginary/complex. The factorization will also result as complex for the most part. This problem will have multiple steps starting with finding the possible real/rational zeroes and finding the possible positive/negative real zeroes. From there, the possibilities make a more precise attempts to find the zeroes, and lead to factorization.

     The viewer needs to pay special attention in finding the possible zeroes: real/rational and positive/negative. Finding the real/ration zeroes involves p/q, which is the factored last term over the factored first term. Find the possible positive and negative zeroes involves Descartes' rule of signs. The positive and negative possibilities have a small different rule throughout the process. The last thing views should pay attention is that the quadratic formula is easier to use when the polynomial is reduced to the 2nd degree and there can be no negative in the radical.