Sunday, September 29, 2013
SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial
The first thing we have to do is find our possible zeros, to do this we do the p's and q's and then put our p's over the q's. From there we do Descartes' rule of sign bringing down the signs of each number and then to find the negatives we keep the signs with even degrees the same and the ones with odd degrees change. We see what the change is and then that's how many positive and negative zeros we'll have.
Now we can start doing our synthetic division until our function's highest degree is a square. From there we use the quadratic formula and find our last two zeros. Now we have all of our zeros and we chack if there's four and our highest degree if four so that tells us we have enough.
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