Finding the Zeros of a Polynomial to the Fourth Degree

The video tutorial explains how to find the real zeros of a polynomial function and understand their multiplicity. It covers the process of factoring polynomials, finding zeros, and verifying the factorization. The concept of multiplicity is introduced, highlighting its significance in determining the behavior of polynomial graphs. The tutorial emphasizes the difference between even and odd multiplicities and their graphical implications.

What are real zeros in the context of polynomial functions?

• Values of x that make the function undefined

• Values of x that minimize the function

• Values of x that make the function zero

• Values of x that maximize the function

When factoring a polynomial, what is the first step you should consider?

• Graphing the polynomial

• Factoring out common terms

• Identifying the degree of the polynomial

• Finding the derivative

Which pair of numbers multiply to -20 and add to -1?

• 5 and 4

• -5 and 4

• -4 and 5

• -5 and -4

What does a multiplicity of two indicate about a zero of a polynomial?

• The zero is a maximum point

• The zero is repeated twice

• The zero is not a real number

• The zero is an x-intercept

How does an odd multiplicity affect the graph of a polynomial at a zero?

• The graph remains above the x-axis

• The graph crosses the x-axis

• The graph touches the x-axis and turns around

• The graph remains below the x-axis