How does the multiplicity of a zero affect the graph of the polynomial function?
The zeros of a ninth degree polynomial function are 1 (multiplicity of 3), 2, 4, and 6 (multiplicity of 4).
The graph of the function will cross through the x-axis at...1 only1 and 2 only 2 and 4 only 1, 2, and 4 only 2, 4, and 6 only.
The graph will only touch (be tangent to) the x-axis at ...1 only 6 only 2 and 4 only 1, 2, and 6 only 2, 4, and 6 only.
At the zero of 2, the graph of the function will ...cross through while hugging , come close to but never touch, cross straight through the x-axis.
