Determine end behavior from a polynomial not in descending order

The video tutorial explains the importance of reordering polynomials by degree, identifying the degree and leading coefficient, and understanding how these factors influence the graph's behavior. It highlights that a polynomial with an odd degree and a negative leading coefficient will rise to the left and fall to the right.

Why is it important to reorder the terms of a polynomial?

• To make it easier to add polynomials

• To ensure the highest degree term is first

• To simplify multiplication

• To make the polynomial look nicer

What is the degree of the polynomial Y = -5X^3 + 4X^2 + X - 2?

• 1

• 2

• 3

• 4

What is the leading coefficient of the polynomial Y = -5X^3 + 4X^2 + X - 2?

• -2

• 1

• 4

• -5

How does the graph of a polynomial behave if the degree is odd and the leading coefficient is negative?

• Falls left, falls right

• Rises left, rises right

• Rises left, falls right

• Falls left, rises right

What does an odd degree indicate about the end behavior of a polynomial's graph?

• The graph is a parabola

• The graph is a straight line

• The ends go in opposite directions

• Both ends go in the same direction