Characteristics of Polynomial

Front

What is a polynomial?

Back

Front

What is the degree of a polynomial?

Back

Front

What determines the leading coefficient of a polynomial?

Back

Front

What is the factored form of a polynomial?

Back

Front

What is the difference between even and odd degree polynomials?

Back

Even degree polynomials have the highest power as an even number and exhibit symmetry about the y-axis. Odd degree polynomials have the highest power as an odd number and exhibit symmetry about the origin.

Front

What is a root of a polynomial?

Back

Front

How do you find the degree of a term in a polynomial?

Back

Front

What is the significance of the leading coefficient in determining the end behavior of a polynomial?

Back

The leading coefficient determines the direction of the ends of the graph of the polynomial. If the leading coefficient is positive, the right end goes up; if negative, the right end goes down.

Front

What is the relationship between the degree of a polynomial and the number of roots it can have?

Back

A polynomial of degree n can have at most n roots, counting multiplicities. For example, a cubic polynomial (degree 3) can have up to 3 roots.

Front

What does it mean for a polynomial to be in standard form?

Back