In this worksheet, we did problems on finding zeros by factoring, graphing, long division, and synthetic dividing. The connection between zeros and factors is that they are opposites. With factors you can find the zeros and with zeros you can find the factors. Division helps us use to factor polynomials because we use the quadratic formula to find the zeros we need. If we have three variables long division and synthetic division will help us find those. The degree of the polynomial helps us find the number of zeros in the formula. For example, if you had something like x^4-4x^3+8x^2-16x+32 you can tell that we will be looking for 4 zeros. This will always tell us how many zeros we will have, even if you have repeating numbers. It will never change.
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March 2015
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