Graphing Polynomials Review

Front

What is the degree of the polynomial (x + 2)(x - 1)(x + 3)(x - 2)^2?

Back

5

Front

Which root has a multiplicity of 2 in the polynomial (x + 2)(x - 1)(x + 3)(x - 2)^2?

Back

-3

Front

What is the general form of a polynomial of degree 4?

Back

Front

What does it mean for a polynomial to have an even degree?

Back

A polynomial has an even degree if the highest exponent of its variable is an even number. This means the ends of the graph will point in the same direction.

Front

What is the maximum number of zeros a polynomial of degree 4 can have?

Back

4 zeros, including real and complex zeros.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial's graph. If it's positive, the graph rises to the right; if negative, it falls to the right.

Front

How do you determine the multiplicity of a root in a polynomial?

Back

The multiplicity of a root is determined by the exponent of the factor corresponding to that root. For example, if (x - r)^n is a factor, then r has a multiplicity of n.

Front

What is the relationship between the degree of a polynomial and the number of its roots?

Back

The degree of a polynomial indicates the maximum number of roots (real and complex) it can have, counting multiplicities.

Front

What is the standard form of a polynomial?

Back

Front

What is a polynomial function?

Back