The video tutorial explains how to find the degree of a polynomial by expanding expressions. It demonstrates the process using examples, such as expanding (X + 2)^2 and (X - 3)^3, to identify the largest power. The tutorial also covers how to determine the behavior of polynomial functions by analyzing the degree and using limit notation. Students are encouraged to practice writing limits as X approaches infinity to understand the function's behavior.

Why is it necessary to expand a polynomial expression when finding its degree?

• To identify the largest power

• To simplify the expression

• To factor the expression

• To find the roots of the polynomial

What is the degree of the expression (X + 2)^2 after expansion?

• 2

• 1

• 4

• 3

When expanding (X - 3)^3, what is the highest degree term?

• X^4

• X^3

• X^5

• X^2

What is the degree of the polynomial resulting from multiplying X^2 and X^3?

• X^4

• X^5

• X^6

• X^7

What does the limit of a polynomial function as X approaches infinity indicate?

• The roots of the polynomial

• The coefficients of the polynomial

• The degree of the polynomial

• The end behavior of the polynomial