Alg. 3 2nd Nine Weeks Evaluation

Front

What is a zero of a polynomial?

Back

A zero of a polynomial is a value of x that makes the polynomial equal to zero.

Front

What does multiplicity mean in relation to polynomial zeros?

Back

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

Front

How can you determine the multiplicity of a zero from a graph?

Back

If the graph touches the x-axis at a zero and turns around, the multiplicity is even. If it crosses the x-axis, the multiplicity is odd.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

How does the degree of a polynomial affect its end behavior?

Back

Even degree polynomials have the same end behavior (both ends up or both ends down), while odd degree polynomials have opposite end behavior (one end up and one end down).

Front

What is the difference between even and odd degree polynomials?

Back

Even degree polynomials have a U-shaped graph, while odd degree polynomials have an S-shaped graph.

Front

What does a positive leading coefficient indicate about the graph of a polynomial?

Back

A positive leading coefficient indicates that the graph rises to the right.

Front

What does a negative leading coefficient indicate about the graph of a polynomial?

Back

A negative leading coefficient indicates that the graph falls to the right.

Front

How can you find the zeros of a polynomial function?

Back

You can find the zeros by factoring the polynomial, using the quadratic formula, or graphing.