Algebra 2 Polynomial Functions 3.1, 3.5

Front

What determines the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.

Front

What is the degree of a polynomial?

Back

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

Front

What is a leading coefficient?

Back

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

Front

How do you find the number of imaginary solutions in a polynomial?

Back

The number of imaginary solutions can be determined by analyzing the factors of the polynomial and their degrees.

Front

Back

Degree: 2, Leading Coefficient: -19.

Front

What is a relative minimum in a polynomial function?

Back

A relative minimum is a point where the function value is lower than the values of the function at nearby points.

Front

How can you identify the leading coefficient from a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree when the polynomial is written in standard form.

Front

What does it mean if a polynomial has an odd degree?

Back

If a polynomial has an odd degree, it means that the end behavior of the graph will go in opposite directions as x approaches positive and negative infinity.

Front

What does it mean if a polynomial has a positive leading coefficient?

Back

If a polynomial has a positive leading coefficient, the graph will rise to the right as x approaches positive infinity.

Front

How do you determine the number of real solutions of a polynomial?

Back

The number of real solutions can be determined by finding the x-intercepts of the polynomial graph.