Writing the polynomial in standard form so that you can find end behavior

The video tutorial explains how to rewrite equations in standard form, focusing on the importance of arranging terms by descending powers. It covers the concepts of degree and leading coefficient, and how these affect the end behavior of polynomial graphs. The tutorial emphasizes the need for practice and reviewing notes to understand these concepts thoroughly.

What is the correct order of terms when writing a polynomial in standard form?

• Alphabetical order

• Random order

• Ascending order of coefficients

• Descending order of powers

How do you identify the degree of a polynomial?

• By the largest power

• By the constant term

• By the number of terms

• By the smallest power

What is the leading coefficient of the polynomial -5x^4 - x^3 + 4x^2 + 9?

• -5

• -1

• 9

• 4

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

• Falls left, rises right

• Rises left, falls right

• Falls left, falls right

• Rises left, rises right

If a polynomial has a positive leading coefficient and an even degree, how does the graph behave?

• Rises left, falls right

• Falls left, rises right

• Rises left, rises right

• Falls left, falls right