Write the end behavior of a polynomial factored out

The video tutorial explains the concept of binomial expansion, focusing on the example of (X + 1)^2. It highlights the importance of the largest degree term in determining polynomial behavior. The process of multiplying terms and adding exponents is discussed, leading to an understanding of polynomial behavior as X approaches infinity. The tutorial emphasizes that the degree and sign of the leading coefficient determine the end behavior of the polynomial.

What is the result of expanding (X + 1)^2?

• X^2 + 4X + 4

• X^2 + 1

• X^2 + 2

• X^2 + 2X + 1

Why is the highest degree term important in a polynomial?

• It is the only term that matters.

• It changes the polynomial's shape.

• It determines the polynomial's color.

• It affects the polynomial's end behavior.

What is the highest degree term in a binomial squared?

• X^3

• X^4

• X

• X^2

How does the degree of a polynomial affect its end behavior?

• It determines the polynomial's symmetry.

• It affects whether the polynomial rises or falls.

• It changes the polynomial's color.

• It has no effect on the polynomial.

What happens to the polynomial as X approaches positive infinity if the leading coefficient is positive?

• The polynomial oscillates.

• The polynomial approaches positive infinity.

• The polynomial remains constant.

• The polynomial approaches negative infinity.