Perrien and Rabalais
First, we need to know what polynomials are. Polynomials are the sum or difference of monomials. A monomial is a product of numbers and variables with whole-number exponents. The topics discussed in this project will be the properties of exponents, adding and subtracting polynomials, multiplying and dividing polynomials, and synthetic division.
- Polynomial- is a monomial or the sum of monomials
- Degree- the power of an exponent
- Standard form of a polynomial- has the polynomial in descending order by degree
- Monomial- a number, variable, or the product of numbers and variables
- Factored Completely- a factorable polynomial with integer coefficients is factored completely if it is written as a product of unfactorable polynomials with integer coefficients
Property of Exponents
Exponent Challenge Problem
The properties used in the problem above are power of a quotient, dividing like bases, and negative exponents.
Adding and Subtracting Polynomials
Multiplying a Monomial by a Polynomial
Multiplying a Binomial by a Binomial
Multiplying a Trinomial by a Binomial
Dividing Polynomials Using Long Division
Problem With a One Term Remainder
Problem With a Multiple Term Remainder
Problems with Factorable Quotients by Trial and Error and Difference of Two Squares
Problems finding the Zeros from the Quotient
Larson, Ron. Larson Algebra 2. Orlando: Houghton Mifflin Harcourt Publishing Company, 2012. Print.