Higher Order Polynomials

Front

What is a higher order polynomial?

Back

A polynomial of degree greater than 2, which can have multiple turning points and zeros.

Front

What are the end behaviors of a polynomial function?

Back

The behavior of the graph of the polynomial as x approaches positive or negative infinity.

Front

How do you find the zeros of a polynomial?

Back

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

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What is the leading coefficient of a polynomial?

Back

The coefficient of the term with the highest degree.

Front

What does it mean for a polynomial to have a multiplicity?

Back

The number of times a particular zero is repeated in the polynomial.

Front

How can you determine the number of turning points of a polynomial?

Back

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

Front

What is the significance of the y-intercept in a polynomial graph?

Back

The point where the graph intersects the y-axis, found by evaluating the polynomial at x=0.

Front

What is synthetic division?

Back

A method used to divide a polynomial by a linear binomial, simplifying the process.

Front

What is the Remainder Theorem?

Back

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