End Behavior of Polynomials

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

What are the two types of polynomial degrees?

Back

Odd and Even.

Front

What is the end behavior of a polynomial with an even degree and a positive leading coefficient?

Back

As x approaches positive or negative infinity, the graph goes up (Up Up).

Front

What is the end behavior of a polynomial with an even degree and a negative leading coefficient?

Back

As x approaches positive or negative infinity, the graph goes down (Down Down).

Front

What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?

Back

As x approaches negative infinity, the graph goes down, and as x approaches positive infinity, the graph goes up (Down Up).

Front

What is the end behavior of a polynomial with an odd degree and a negative leading coefficient?

Back

As x approaches negative infinity, the graph goes up, and as x approaches positive infinity, the graph goes down (Up Down).

Front

How do you identify the leading term of a polynomial?

Back

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

Front

Given the polynomial P(x) = 3x^2 - 4x^4 + 2x + 1, what is the leading term?

Back

The leading term is -4x^4.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the leading term.

Front

If a polynomial has a degree of 7, what is the highest power of x in the polynomial?

Back

The highest power of x is x^7.