This unit the topic is, Finding Zeros and Rational Functions! The difference between factors and zeros are as follows: Factors are zeros of a line written in the simplest way possible, while zeros are the area which the graph crosses the x-axis. Division helps individuals factor a polynomial but reducing it down to either a smaller polynomial, or its simplest form. The highest level degree in which the polynomial contains will determine the number of zeros the line has. For example, in an equation like X^4+X^3+4X^2+16x+4 would most likely cross the x- axis 4 times. However, this does not always work. In polynomials such as X^3+X^2+2x-8 the line cross the x- axis once. There are cases in which the polynomial has a repeating zero. For example in the polynomial X^4-9X^3+18X^2+32x-96 the zero 4 repeats twice. In polynomials such like this one there is a maximum and minimum in the graph. This happens for polynomials whose height degree is an even number. Polynomials with their highest degree being an odd number obtain no maximum or minimum.