Name: Dylan Kirkwood
Who is asking: Other
Lets look at the problem the other way arount first. Suppose
Knowing the factors helps to graph the equation since you can see immediately that when x = -2, y = 0 and when x = 3, y = 0. Thus you know two points on the graph, (-2,0) and (3,0).
There is a theorem, called the Factor Theorem which says that this process works the other way around. That is if you graph
and realize that (-2,0) and (3,0) are points on the graph then you can conclude that (x - 2) and (x + 3) are factors of x2 - x - 6. This Factor Theorem is true for more than quadratics, it says that: