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

The video tutorial explains how to identify the end behavior of polynomials. It begins by instructing students to write polynomials in standard form, with powers in descending order. The tutorial emphasizes the importance of understanding the degree and leading coefficient, focusing on whether the degree is even or odd and if the leading coefficient is positive or negative. The end behavior is determined based on these factors, with examples provided to illustrate the concept. The tutorial concludes with a summary of the key points discussed.

Why is it important to write a polynomial in standard form?

• To make it easier to add and subtract polynomials

• To identify the end behavior correctly

• To simplify the polynomial

• To find the roots of the polynomial

What do we need to consider when determining the end behavior of a polynomial?

• The sum of the coefficients

• The constant term

• The number of terms in the polynomial

• The degree and leading coefficient

How do we classify the degree of a polynomial?

• By its highest coefficient

• By the sum of its exponents

• By the number of variables

• By whether it is even or odd

What is the end behavior of a polynomial with an even degree and a negative leading coefficient?

• Rises left, rises right

• Rises left, falls right

• Falls left, rises right

• Falls left, falls right

Which of the following describes the end behavior 'falls left, falls right'?

• Even degree, positive leading coefficient

• Odd degree, negative leading coefficient

• Even degree, negative leading coefficient

• Odd degree, positive leading coefficient