Graphing Polynomials in Factored Form

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

How many zeros does a polynomial of degree n have?

Back

A polynomial of degree n has exactly n zeros, counting multiplicities, which can be real or complex.

Front

What does it mean for a zero to have multiplicity?

Back

Multiplicity refers to the number of times a particular zero is repeated in the polynomial's factored form.

Front

What is the factored form of a polynomial?

Back

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

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the leading term's degree and its leading coefficient.

Front

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

Back

The leading coefficient affects the direction of the graph as x approaches positive or negative infinity.

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

How can you find the zeros of a polynomial in factored form?

Back

To find the zeros, set each factor equal to zero and solve for x.

Front

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

Back

A polynomial of degree n can have at most n-1 turning points.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of degree.