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Monday, September 30, 2013

SV #1: Unit F Concept 10 - Finding zeroes (real and complex) of a 5th or 4th degree Polynomial



This problem is about finding real, irrational, and imaginary and irrational zeroes by using p divided by q to find possible zeroes and the Descartes Rule of Signs to find the number of positive and negative zeros.

It is important to remember to not include certain fractions in our p/q's because we may have already written the reduced form of it already. It is also good to remember that in Descartes Rule of Signs, that we must account for irrational or imaginary zeroes by pairing the real zeroes. A helpful step is also to take out the greatest common multiple from the quadratic (after finding 2 zeroes) because it makes smaller, nicer numbers for when we plug them into our quadratic formula. Concerning writing factors, remember to multiply x by the number of the denominator of the irrational zero so we have the entirety of it over one number. It is also good to remember to distribute any GCF we took out previously, to a factor that contains a fraction to make the factors look "pretty" and "clean".

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