identify a cubic function from the rate of change.

describe the features of .

graph cubic functions in the form:

.

describe the similarities and differences between cubic functions and quadratic functions.

add polynomials both algebraically and graphically.

subtract polynomials both algebraically and graphically.

multiply polynomials using the distributive property.

use Pascal’s Triangle to raise a binomial to a power.

divide polynomials using long division.

write two equivalent polynomial multiplication statements for each division statement.

know that if a polynomial is divided by , the remainder is . If there is not a remainder, is a factor. (The Polynomial Remainder Theorem)

use the Fundamental Theorem of Algebra to determine how many roots a polynomial has.

explain why polynomials are closed under addition, subtraction, and multiplication, but not closed under division.

write a polynomial in factored form, given the roots of the polynomial.

find the other roots of a polynomial given a factor or root.

describe pairs of irrational or imaginary roots of polynomials.

determine the end behavior of a polynomial of a given degree.

use proper notation to write the end behavior of a polynomial.

graph a polynomial given a defining set of information about roots and degree.

determine if a function is even or odd.

write the equation of a polynomial in standard or factored form, given a defining set of information.