A Quadratic Polynomial
1. Consider the polynomial . Let be the remainder when we divide by . That is, satisfies where the degree of is less than the degree of the divisor, . Find and graph on the set of axes below.
2. Now, find the remainder that results from dividing by . Graph on the set of axes below.
3. What do you notice about each remainder at the point P?
4. What do you think the remainder graph would have looked like if we considered ?