Zeros, Multiplicities, and Degrees of Polynomials

Front

What is a polynomial?

Back

Front

What are the zeros of a polynomial?

Back

Front

What is the degree of a polynomial?

Back

Front

What is multiplicity in polynomials?

Back

Front

How do you find the degree of a polynomial given its factors?

Back

Front

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

Back

The degree of a polynomial indicates the maximum number of zeros it can have. For example, a polynomial of degree 4 can have up to 4 zeros.

Front

What does it mean for a root to have even multiplicity?

Back

Front

What does it mean for a root to have odd multiplicity?

Back

Front

How do you express a polynomial given its roots and their multiplicities?

Back

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial graph.