Determine the end behavior of a polynomial

The video tutorial explains the leading coefficient test, focusing on polynomial manipulation to determine the degree and leading coefficient. It covers how to arrange polynomials in descending order using the distributive property and identifies the degree and leading coefficient. The tutorial also discusses end behavior analysis, showing how polynomials with similar degrees and leading coefficients share end behavior characteristics. The video concludes with a summary of the key points discussed.

What is the first step in determining the leading coefficient and degree of a polynomial?

• Expand the polynomial to descending order

• Combine like terms

• Factor the polynomial

• Find the roots of the polynomial

How do you identify the degree of a polynomial?

• By finding the smallest exponent

• By identifying the largest exponent

• By counting the number of terms

• By adding all the exponents

What is the leading coefficient of a polynomial?

• The coefficient of the term with the largest exponent

• The product of all coefficients

• The sum of all coefficients

• The coefficient of the term with the smallest exponent

What determines the end behavior of a polynomial function?

• The constant term

• The sum of all coefficients

• The degree and leading coefficient

• The number of terms in the polynomial

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

• Rises left and falls right

• Falls left and rises right

• Falls left and falls right

• Rises left and rises right