CFA # 1 Zeros and Multiplicity

Front

Back

Front

What are the x-intercepts or zeros of the polynomial function represented by the graph?

Back

Front

Back

Front

Back

Front

Back

Front

Define 'zero' in the context of polynomial functions.

Back

Front

What is the significance of multiplicity in polynomial roots?

Back

Multiplicity indicates how many times a particular root is repeated. A root with an even multiplicity touches the x-axis, while an odd multiplicity crosses it.

Front

How do you find the x-intercepts of a polynomial function?

Back

Front

What is the relationship between the degree of a polynomial and the number of roots?

Back

The degree of a polynomial indicates the maximum number of roots (including multiplicities) it can have.

Front

What does it mean if a polynomial has a root of multiplicity 2?

Back

A root of multiplicity 2 means that the root is repeated twice, and the graph will touch the x-axis at that point without crossing it.