HP: Zeros & Multiplicity

Front

What is a zero of a polynomial function?

Back

A zero of a polynomial function is a value of x that makes the function equal to zero. It is also known as a root.

Front

Back

4

Front

Back

-2, 7 with multiplicity 3

Front

Back

-2

Front

Back

-3, -1, 2, 5

Front

How does a factor with multiplicity of 2 affect the graph of a polynomial function?

Back

Touch and Turn

Front

What is multiplicity in relation to polynomial zeros?

Back

Multiplicity refers to the number of times a particular zero is repeated in a polynomial function.

Front

If a polynomial has a zero with odd multiplicity, how does it affect the graph?

Back

The graph will cross the x-axis at that zero.

Front

If a polynomial has a zero with even multiplicity, how does it affect the graph?

Back

The graph will touch the x-axis at that zero but will not cross it.

Front

What is the relationship between the degree of a polynomial and the number of zeros it can have?

Back

The degree of a polynomial indicates the maximum number of zeros it can have.