How to find the leading coefficient and degree to determine end behavior of a polynomial

The video tutorial explains the importance of writing polynomials in standard form, with powers in descending order. It guides students on identifying the degree and leading coefficient of a polynomial, determining whether the degree is odd or even, and whether the leading coefficient is positive or negative. The tutorial concludes by explaining how these factors influence the polynomial's end behavior, specifically for odd-degree polynomials with positive coefficients, which fall left and rise right.

Why is it important to write polynomials in standard form?

• To make calculations easier

• To ensure the powers are in ascending order

• To simplify the polynomial

• To ensure the powers are in descending order

What is the degree of a polynomial?

• The smallest power of the variable

• The coefficient of the first term

• The largest power of the variable

• The sum of all coefficients

How do you identify the leading coefficient of a polynomial?

• It is the sum of all coefficients

• It is the first coefficient in the polynomial

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

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

What determines the end behavior of a polynomial?

• The degree and leading coefficient

• The number of terms in the polynomial

• The sum of all exponents

• The constant term

If a polynomial has an odd degree and a positive leading coefficient, what is its end behavior?

• Rises left, rises right

• Falls left, rises right

• Rises left, falls right

• Falls left, falls right