Answer:
The graph cuts the x-axis at odd multiplicities.
Step-by-step explanation:
Let
[tex]p(x) = {(x - a)}^{n} [/tex]
Then x-a has multiplicity n.
This determines whether, the x-intercept x=a cuts the x-axis or just touches it.
If n is even, the graph of p(x) just touches or becomes a tangent to the x-axis.
If n is odd , the graph cuts the x-axis.
