(AA) Unit 3 FINAL (Fall 2024)

Front

What is a factor of a polynomial?

Back

A factor of a polynomial is a polynomial that divides the original polynomial without leaving a remainder.

Front

Back

Front

What is the significance of a function having no real zeros?

Back

Front

Back

Front

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

Back

The leading coefficient determines the direction of the ends of the graph: positive leading coefficient means the ends go up, negative means the ends go down.

Front

What is the maximum number of turning points a polynomial function can have?

Back

Front

What are the characteristics of a polynomial with a negative leading coefficient and odd degree?

Back

It will fall to the left and rise to the right, indicating that the graph will have one end going down and the other going up.

Front

How do you find the zeros of a polynomial function using a calculator?

Back

You can use the graphing feature to find where the graph intersects the x-axis or use a root-finding algorithm available in the calculator.

Front

What is the relationship between the degree of a polynomial and the number of real zeros it can have?

Back

Front

What is synthetic division and when is it used?

Back

Synthetic division is a simplified form of polynomial division used when dividing by a linear factor, making calculations easier.