Identifying the leading coefficient and degree to write the end behavior of a polynomial

The video tutorial explains how to determine the degree and leading coefficient of polynomials, emphasizing the importance of arranging terms in descending order. It covers the classification of polynomials by degree and number of terms, and discusses the end behavior of polynomial graphs based on the degree and leading coefficient. The tutorial also clarifies the role of constants in polynomials.

What is the degree of a polynomial and how is it determined?

• The degree is the smallest power of the variable.

• The degree is the number of terms in the polynomial.

• The degree is the sum of all the powers of the variable.

• The degree is the largest power of the variable.

How do you identify the leading coefficient of a polynomial?

• It is the coefficient of the term with the largest power.

• It is the sum of all coefficients in the polynomial.

• It is the coefficient of the constant term.

• It is the coefficient of the term with the smallest power.

What is a polynomial with three terms called?

• Quadrinomial

• Monomial

• Binomial

• Trinomial

How is a polynomial with a degree of 4 classified?

• Linear

• Quartic

• Quadratic

• Cubic

What happens to the graph of a polynomial if the degree is even and the leading coefficient is negative?

• The graph rises on both ends.

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

• The graph falls on both ends.

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