Determining the extrema as well as zeros of a polynomial based on the graph

The video tutorial covers the process of identifying real zeros, determining the degree of a polynomial, and understanding complex solutions. It explains how to find the leading coefficient and write a polynomial in factored form. The tutorial also discusses absolute and relative extrema, emphasizing the importance of understanding turning points and the behavior of graphs.

What are the real zeros of a polynomial graph?

• The x-intercepts of the graph

• The points where the graph crosses the y-axis

• The points where the graph changes direction

• The highest points on the graph

How can you determine the degree of a polynomial using turning points?

• Count the number of y-intercepts

• Count the number of turning points and add one

• Count the number of x-intercepts

• Count the number of complex solutions

What does a negative leading coefficient indicate about the graph's behavior?

• The graph rises to the right and falls to the left

• The graph falls to the right and rises to the left

• The graph has no turning points

• The graph has only real solutions

Why are there no absolute maxima or minima for the given graph?

• The graph extends indefinitely to infinity

• The graph is a straight line

• The graph has only complex solutions

• The graph has no turning points

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

• The highest point on the entire graph

• A point where the graph crosses the x-axis

• A turning point that is higher than nearby points

• The lowest point on the entire graph