Consider the graph of p(x). Given that (x-3) is a factor of p(x), is the multiplicity of (x-3) even or odd? Why?

1. The multiplicity of (x-3) is odd because the graph of p(x) touches the x-axis at (3,0) and then turns around.
2. The multiplicity of (x-3) is even because the graph of p(x) touches the x-axis at (3,0) and then turns around.
3. The multiplicity of (x-3) is even because the associated zero, x=3, is odd.
4. The multiplicity of (x-3) is odd because the associated zero, x=3, is odd.

1 answer

2. The multiplicity of (x-3) is even because the graph of p(x) touches the x-axis at (3,0) and then turns around.