SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts

Factoring: First factor the equation fully. Then we can take out x^2 from the original equation. We an distribute x^2+3x+2 even more to (x+2) (x+1).

End Behavior: By looking at the leading coefficient and the exponent,we know that it is an even positive.

X-intercept: With the variables, we know that there should be 4 zero multiplicities because the leading exponent is 4. Since 0 has the multiplicity of 2 then the line bounces off of its point. -2 and -1 have the multiplicity of 1 then the line goes threw them.
Y-intercepts: We replace the x's with 0 and multiply it with it's coefficient. Since it equals 0, then the y-intercept it 0.

This problem is about finding multiplicities and graphing it's points. While we do that we are also identifying all of it's parts as we go along. Then we graph the polynomial according to it's points.

To understand this concept, the viewer must first look at the leading coefficient and the exponent to see how many zero multiplicities there are and how the graph is suppose to look like. When they are done factoring the polynomial, they must see if the number of zero multiplicities are the same as the leading exponent.