What information can you learn from the graph of a polynomial

The video tutorial explains how to find zeros of a polynomial and their multiplicities. It discusses the factored form of polynomials and how to determine the degree by counting turning points. The tutorial also covers the concept of relative maxima and minima, emphasizing the importance of understanding multiplicity and end behavior in graph analysis.

What is the multiplicity of a zero if the graph crosses the x-axis at that point?

• Zero multiplicity

• Odd multiplicity

• Undefined multiplicity

• Even multiplicity

If a polynomial is factored as (x + 1)(x - 2), what is the degree of the polynomial?

• 4

• 3

• 2

• 1

How can you determine the degree of a polynomial from its graph?

• Count the number of y-intercepts

• Count the number of x-intercepts

• Count the number of turning points and add one

• Count the number of zeros

What does it indicate if a graph rises to the left and falls to the right?

• The leading coefficient is positive

• The leading coefficient is negative

• The polynomial is quadratic

• The polynomial is linear

What is a relative maximum in the context of a polynomial graph?

• The highest point on the entire graph

• The lowest point on the entire graph

• A point where the graph crosses the x-axis

• A turning point that is higher than the points directly adjacent to it

Which of the following is NOT a relative maximum?

• A point that is not the highest in the entire graph

• A point where the graph changes from decreasing to increasing

• A point where the graph changes from increasing to decreasing

• A point higher than its immediate surroundings

What is the significance of a relative minimum on a graph?

• It is where the graph crosses the x-axis

• It is the highest point on the entire graph

• It is a turning point lower than the points directly adjacent to it

• It is the lowest point on the entire graph