How to expand a polynomial in factored form to determine the end behavior

The video tutorial explains the multiplication of polynomials using the FOIL method, emphasizing the importance of focusing on the leading terms to determine the highest degree and leading coefficient. It further explores how these factors influence the end behavior of polynomial graphs, providing examples of odd and negative leading coefficients.

What is the highest power produced when multiplying two polynomials using the FOIL method?

• Linear

• Cubed

• Squared

• Quartic

When multiplying polynomials, why is the leading term important?

• It changes the polynomial's shape.

• It defines the polynomial's degree and leading coefficient.

• It affects the polynomial's symmetry.

• It determines the polynomial's color.

What is the degree of the polynomial when the leading term is -24x^3?

• 3

• 5

• 2

• 4

How does the end behavior of a polynomial change if the leading coefficient is negative?

• The graph rises to the right and falls to the left.

• The graph oscillates.

• The graph falls to the right and rises to the left.

• The graph remains constant.

As x approaches negative infinity, what happens to f(x) if the leading coefficient is negative?

• f(x) approaches positive infinity.

• f(x) remains constant.

• f(x) approaches zero.

• f(x) approaches negative infinity.