End behavior of polynomials factored out

The video tutorial explains how to approach a problem involving the multiplication of binomials, focusing on identifying the highest degree term. It demonstrates the use of the distributive property to determine the highest power and discusses the graph's end behavior based on the coefficients. The tutorial emphasizes understanding the graph's behavior without fully plotting it, using the example of a cubic function with a negative leading coefficient to illustrate the concept.

What is the first term of the product when multiplying two binomials?

• X^2

• X

• 1

• X^3

When applying the distributive property, what is the highest power term obtained from multiplying -3X with X^2?

• -3

• -3X

• -3X^2

• -3X^3

How does the graph of a polynomial with a negative leading coefficient and odd degree behave?

• Rises both sides

• Falls left and rises right

• Falls both sides

• Rises left and falls right

As X approaches negative infinity, what happens to F(X) for the given polynomial?

• F(X) approaches negative infinity

• F(X) remains constant

• F(X) oscillates

• F(X) approaches positive infinity

As X approaches positive infinity, what is the behavior of F(X) for the polynomial discussed?

• F(X) oscillates

• F(X) remains constant

• F(X) approaches negative infinity

• F(X) approaches positive infinity