Polynomial Expressions and End Behavior

Front

What is a polynomial expression?

Back

Front

What is the degree of a polynomial?

Back

Front

What is the leading coefficient of a polynomial?

Back

Front

What is end behavior in polynomials?

Back

End behavior describes how the values of a polynomial function behave as the input (x) approaches positive or negative infinity.

Front

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

Back

To find the end behavior, look at the leading term of the polynomial. If the leading term is positive and has an even degree, both ends go up. If it's negative, both ends go down. If the degree is odd, one end goes up and the other goes down.

Front

Back

Front

What is the difference between polynomial long division and synthetic division?

Back

Polynomial long division is a method used to divide polynomials similar to long division with numbers, while synthetic division is a shortcut method used specifically for dividing by linear factors.

Front

Back

Front

Back

Front

What is the significance of the leading term in determining end behavior?

Back

The leading term determines the end behavior of the polynomial function as it dictates the direction of the graph as x approaches infinity or negative infinity.