A zero is a solution to a polynomial that can be found by looking at a graph and looking for where is crosses the x-axis, some zeros you cannot find by looking at the graph. A factor is a zero put into an equation, for example a graph has three solutions: -2,1 and 2 the factors would be (x+2),(x-1) and (x-2). Dividing polynomials helps us factor because it can simplifies the polynomial to a squared polynomial and get more solutions that can be turned into factors. The leading coefficient's degree shows us how many zeros to look for when solving polynomials. The degree on the leading coefficient does not tell us how many factors there will be, sometimes a polynomial cannot be factored further and that has to be a factor.
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November 2017
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