Polynomial End Behavior Review

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 do you determine if (x - a) is a factor of a polynomial?

Back

If substituting x = a into the polynomial results in zero, then (x - a) is a factor.

Front

What is the end behavior of a polynomial function?

Back

The end behavior describes how the values of the polynomial behave as x approaches positive or negative infinity.

Front

What determines the end behavior of a polynomial?

Back

The degree of the polynomial and the sign of the leading coefficient determine the end behavior.

Front

What is the leading coefficient of a polynomial?

Back

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

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

How do you factor a polynomial by grouping?

Back

To factor by grouping, group terms with common factors, factor them out, and then factor the resulting polynomial.

Front

What is the factored form of a polynomial?

Back

The factored form expresses the polynomial as a product of its factors.

Front

What is the significance of the sign of the leading coefficient?

Back

The sign of the leading coefficient affects the direction of the ends of the graph of the polynomial.