Sketch the graph of a factored polynomial using multiplicity

The video tutorial explains how to find zeros and solutions of a polynomial by setting it to zero and applying the zero product property. It then covers graphing these solutions as X-intercepts and discusses the role of multiplicity in determining graph behavior. The tutorial also explains how to determine the end behavior of the graph by focusing on the leading term and its degree. Finally, it demonstrates how to connect the graph through the identified zeros and behavior patterns.

What is the first step in finding the zeros of a polynomial?

• Use the quadratic formula

• Set the equation equal to zero

• Find the derivative

• Graph the equation

How does the graph behave at a zero with an odd multiplicity?

• It touches the x-axis and turns around

• It crosses the x-axis

• It remains above the x-axis

• It remains below the x-axis

What determines the end behavior of a polynomial graph?

• The y-intercept

• The constant term

• The leading term and its degree

• The number of zeros

If a polynomial has a positive leading coefficient and an odd degree, how does the graph behave?

• Rises left, falls right

• Falls left, rises right

• Rises left, rises right

• Falls left, falls right

What is the highest power of x in the polynomial discussed?

• x^1

• x^2

• x^3

• x^4