Question

how can you determine that the polynomial function does not have any zeros with even Multiplicity? Explain.​

Answer 1

Answer:

See Below.

Step-by-step explanation:

Remember multiplicity rules:

• If a factor has an odd multiplicity (e.g. 1, 3, 5...), then the graph will cross the x-axis at that point.

• If a factor has an even multiplicity (e.g. 2, 4, 6...), then the graph will bounce off the x-axis at that point.

From the graph, we can see that at our zeros, the graph always passes through the x-axis.

Hence, we do not have any zeros with even multiplicity since the graph does not "bounce" at any of the zeros.