Respuesta :
When the graph of its function only touches the x–axis at that zero, then the zero is; Even
When the graph of its function crosses the x–axis at that zero, then the zero is; Odd.
When graphing polynomials, there is what we call identifying of zeros and their multiplicities. The rule for this is that;
1. If the graph crosses the x-axis and the graph shows to look linear at it's intercept, then the polynomial has a single zero.
2. If the graph touches the x-axis and then bounces off of the axis, it means that the polynomial has a zero with an even multiplicity.
3. If the graph crosses the x-axis at a zero, it means that the polynomial has a zero with an odd multiplicity.
To answer the question;
The first statement says the graph of its function only touches the x–axis at that zero and from our definition we can see that the zero has even multiplicity.
For the second statement about the graph crossing the x-axis, we can see from the given definition that it has an odd multiplicity.
Read more about polynomial graph multiplicity at; https://brainly.com/question/11314797
