Roots and multiplicity of a polynomial function

Front

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

Back

Touches and bounces back.

Front

Back

0, 2, -3 multiplicity 2.

Front

Identify the polynomial function with roots at x = -3 (multiplicity 2), x = 1, and x = 4.

Back

y = (x + 3)^2(x - 1)(x - 4).

Front

Back

The leading coefficient is 5, the degree is 6.

Front

What does the multiplicity of a root represent?

Back

It is the number of times the corresponding factor is repeated.

Front

Define a polynomial function.

Back

Front

What is a root of a polynomial function?

Back

Front

How do odd multiplicities affect the x-axis?

Back

They cross the x-axis.

Front

What is the degree of a polynomial?

Back

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree.