How to Find Zeros, Multiplicity and End Behavior to Graph of a Polynomial

The video tutorial explains the zero product property and how to apply it to find zeros of a polynomial. It covers undoing exponents by taking roots and discusses the concept of multiplicity, which affects whether a graph crosses or bounces at a zero. The tutorial also guides on sketching polynomial graphs by hand, focusing on end behavior and the impact of leading coefficients.

What is the first step in solving a polynomial equation using the zero product property?

• Add all terms together

• Set the function equal to zero

• Multiply all terms by zero

• Divide by the highest power

How does the multiplicity of a zero affect the graph of a polynomial?

• It changes the degree of the polynomial

• It alters the leading coefficient

• It affects whether the graph crosses or bounces at the zero

• It determines the color of the graph

What happens to the graph of a polynomial at a zero with an odd multiplicity?

• It bounces

• It crosses

• It remains flat

• It disappears

What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?

• Rises left, rises right

• Falls left, falls right

• Rises left, falls right

• Falls left, rises right

When sketching a polynomial graph by hand, what should you connect to complete the graph?

• The zeros and the end behavior

• The zeros and the y-axis

• The zeros and the x-axis

• The zeros and the origin