Monday, September 30, 2013
SV #1; Unit F Concept 10; Given polynomial of 4'th or 5'th degree, find all zeros
f(x)= same signs brought down.
f(-x)= EVEN degrees stay the SAME, and ODD degrees CHANGE.
This problem is about finding the zeros of a quartic polynomial. In order to d=find the zeros to a quartic polynomial, one must combine all the previous concepts from unit F into one problem. One starts with finding how many possible zeros there are from the equation and how many possible(+)zeros and possible(-) zeros there are in the equation. Finding the zeros from then on requires patience in choosing a possible zero to plug into the equation to determine if it ends to equal a ZERO HERO. Once you minimize the equation to a quadratic, we use the quadratic formula because we know that, in this unit, we will be solving for imaginary numbers.
As a viewer, one must pay close attention to the signs used in the equation and how to change them when changing them into a factorization. Another important thing to remember is the quadratic formula, and when to use it. If the quadratic equation is factorable, the quadratic formula is not needed. One must also remember to distribute the imaginary numbers with (x-)and to multiply the (x-) with a common denominator.
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