What is the leading coefficient test

The video tutorial explains the leading coefficient test for polynomials, focusing on how the degree and leading coefficient affect the graph's shape. It covers even and odd degree polynomials, discussing the impact of positive and negative leading coefficients. The tutorial emphasizes understanding these concepts through examples and concludes with a discussion on the possibilities of polynomial degrees and coefficients.

What two main components are included in the leading coefficient test?

• Leading coefficient and variable

• Leading coefficient and constant term

• Leading coefficient and degree of the polynomial

• Degree of the polynomial and constant term

What happens to the graph of a quadratic polynomial when the leading coefficient is negative?

• It shifts upwards

• It shifts downwards

• It reflects over the X-axis

• It reflects over the Y-axis

How does a cubic function graph appear when the leading coefficient is positive?

• It opens downwards

• It is a straight line

• It has an S-shape

• It opens upwards

What transformation occurs to a cubic graph when the leading coefficient is negative?

• It reflects over the Y-axis

• It shifts to the left

• It reflects over the X-axis

• It shifts to the right

What are the two possible types of polynomial degrees discussed?

• Positive and negative

• Odd and fractional

• Odd and even

• Even and fractional

What happens if the leading coefficient of a polynomial is zero?

• The polynomial becomes a constant

• The polynomial becomes undefined

• The polynomial becomes linear

• The polynomial becomes quadratic

How many main scenarios are there for polynomial degrees and leading coefficients?

• Two

• Five

• Three

• Four