Hello! Here's a question that I need help with. Thanks!
1) Construct a cubic equation that describes a graph that has no stationary points. Describe how you arrived at your equation.
2) Quadratic equations may describe graphs that do not intersect the x-axis at all. Is it possible to construct a cubic equation that describes a graph that does not intesect the x-axis at all? [My answer is no, but I don't really know how to explain it.] Why/Why not? State and explain an implication of your result using the Remainder-Factor Theorem.
Thank you in advance!