Sunday, September 29, 2013
SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial
*warning: There's a little noise throughout the video but it shouldn't be too distracting. Sorry for the inconvenience.*
Our problem is about finding imaginary and irrational zeroes on top of finding real zeroes, which are accounted for in Decarte's Rule of Signs and our P/q's.
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 Decarte's Rule of Signs, that we must account for irrational or imaginary zeroes by writing "3 or 1" real zeroes. A helpful step is also to take out a GCF 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.
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