Writing the end behavior of a polynomial using limits

The video tutorial explains polynomial multiplication, focusing on identifying the highest power in expressions. It discusses the concept of end behavior and degree, using examples to illustrate how to determine these properties. The tutorial also covers how to express end behavior using limit notation, emphasizing the importance of understanding polynomial degrees and leading coefficients.

What is the highest power obtained when multiplying (X - 4) three times?

• X^3

• X^2

• X^5

• X^4

When using the FOIL method, what is the degree of the polynomial obtained from multiplying the first two terms?

• 2X^2

• 2X^3

• 2X^4

• 2X^5

What does a positive leading coefficient indicate about the end behavior of a polynomial with an even degree?

• Rises left, rises right

• Falls left, falls right

• Rises left, falls right

• Falls left, rises right

How is the end behavior of a polynomial expressed as X approaches negative infinity?

• The limit as X goes to negative infinity is negative infinity

• The limit as X goes to negative infinity is zero

• The limit as X goes to negative infinity is infinity

• The limit as X goes to negative infinity is undefined

What is the correct limit notation for a polynomial that rises to the right?

• The limit as X goes to infinity is negative infinity

• The limit as X goes to infinity is infinity

• The limit as X goes to infinity is undefined

• The limit as X goes to infinity is zero