multiplicity and polynomials

Front

What is a polynomial?

Back

Front

What is the degree of a polynomial?

Back

Front

What does it mean for a polynomial to have multiple roots?

Back

Front

How do you find the y-intercept of a polynomial?

Back

Front

What is the factored form of a polynomial?

Back

Front

What is the end behavior of a polynomial?

Back

Front

What is a root of a polynomial?

Back

Front

How do you determine the maximum number of roots of a polynomial?

Back

The maximum number of roots of a polynomial is equal to its degree. For example, a polynomial of degree 3 can have at most 3 roots.

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.

Front

What is the difference between even and odd degree polynomials?

Back

Even degree polynomials have the same end behavior on both sides (both up or both down), while odd degree polynomials have opposite end behavior (one side up, the other down).