Zeros & Multiplicity

Front

What are the zeros of the polynomial function y = x(x - 6)(x + 5)?

Back

0, 6, -5

Front

What effect do odd multiplicities have on the x-axis?

Back

Cross the x-axis

Front

How does a multiplicity of 1 affect the graph?

Back

Cross

Front

What does the degree of a polynomial determine?

Back

The maximum number of x-intercepts

Front

If there is a turning point on the x-axis, what does that mean about the multiplicity of that zero?

Back

Even

Front

Define 'zero' in the context of polynomial functions.

Back

A value of x that makes the polynomial equal to zero.

Front

What is multiplicity in relation to polynomial zeros?

Back

The number of times a particular zero is repeated.

Front

How does an even multiplicity affect the graph at the x-axis?

Back

The graph touches the x-axis and turns around.

Front

What is the relationship between the degree of a polynomial and its turning points?

Back

The maximum number of turning points is one less than the degree.

Front

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

Back

The graph crosses the x-axis.