Higher Order Polynomials

Front

What is a higher order polynomial?

Back

A polynomial of degree greater than two, which can have multiple terms and complex behavior.

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What are the zeros of a polynomial?

Back

The values of x for which the polynomial equals zero.

Front

How do you find the zeros of a polynomial function?

Back

By setting the polynomial equal to zero and solving for x.

Front

What is the factored form of a polynomial?

Back

A representation of a polynomial as a product of its linear factors.

Front

What does the graph of a polynomial function look like?

Back

It is a smooth, continuous curve that can have multiple turning points.

Front

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

Back

It determines the end behavior of the polynomial's graph.

Front

What is synthetic division?

Back

A method used to divide polynomials, particularly useful for finding zeros.

Front

What is the Remainder Theorem?

Back

If a polynomial f(x) is divided by (x-c), the remainder is f(c).

Front

What is the Factor Theorem?

Back

A polynomial f(x) has a factor (x-c) if and only if f(c) = 0.