Polynomial End Behavior & Synthetic Division

Front

What determines the end behavior of a polynomial function?

Back

The degree of the polynomial and the sign of the leading coefficient.

Front

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

Back

Both ends of the graph rise (Left up & Right up).

Front

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

Back

Left down & Right up.

Front

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

Back

Both ends of the graph fall (Left down & Right down).

Front

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

Back

Left up & Right down.

Front

How many zeros does the polynomial P(x) = 3x^3 + 4x - 8 have?

Back

3 zeros.

Front

What is the proper way to write the polynomial 2x^3 - x^2 - 25x - 12?

Back

2x^3 - x^2 - 25x - 12.

Front

What is the degree of the polynomial function f(x) = 2x^3 - x + 5?

Back

The degree is 3.

Front

What does the leading coefficient of a polynomial indicate about its end behavior?

Back

It indicates whether the ends of the graph rise or fall.

Front

If a polynomial has a degree of 4, how many zeros can it have at most?

Back

It can have at most 4 zeros.