There are a few connections between factors and zeros. Factors are the inverse of what the zeros. For example if the factor is (x+2)(x-3)(x-4), the zeros would be x=-2, x=3, and x=4. By using long division or synthetic division, we are able to find the zeros that aren't easy to find using the graphing technique by giving us a quadratic equation to solve. The degree of a polynomial actually gives you the number of the zeros you're looking for. f(x)=x^4-9x^3+18x^2+32x-96 shows us that we only need to find 4 zeros, and often when graphed, you can get the easy zeros first. The degree of the polynomial also gives us the number of factors there is going to be also. If there is 4 zeros, there is going to be 4 factors because they are inverse to eachother.
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