Sunday, September 29, 2013
SV #1: Unit 7 Concept 10: Finding all zeroes (real & complex)
This problem is about solving for the zeroes and finding the factorization of -22x^4-167x^3-103x^2+47x +5. For this problem, you have to find the p's and q's which is the possible real/rational zeroes. Then, you need to find the possible positive/negative real zeroes using Decartes Rule of Signs. Then, you must use synthetic division and plug in numbers form your p/q list. Once you have a quadratic, you can factor or use the quadratic formula to solve and get your final zeroes.
The viewer must pay special attention a couple of things. The viewer must pay attention to finding the possible real/rational zeroes. This way, the viewer eliminates many numbers that they can plug in while doing the synthetic division, The viewer must also pay attention to finding the possible positive/negative real zeroes. This involves Decartes Rule of Signs and if you do this right, then you can eliminate some numbers from your p/q list. The viewer must also pay attention to distributing negatives properly while doing the quadratic formula. This makes is easier for the viewer to do their work.
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