Only a life lived for others A.3a Polynomials and Factoring Only a life lived for others is a life worthwhile. -Albert Einstein
Definitions Monomial: the product of a constant and a variable raised to a nonnegative integer power. degree of the monomial (power of the variable) coefficient of the monomial (constant value) variable
Definitions Like terms: two monomials with the same degree and the same variable We know that we can add and subtract like terms
Definitions Binomial: the sum or difference of two monomials that are not like terms Trinomial: the sum or difference of three monomials that are not like terms Polynomial: the sum or difference of monomials that are not like terms
Definitions Terms: the monomials that make up a polynomial Standard Form: polynomial written beginning with the term of highest degree and continuing in descending order
These are important rules for factoring! Special Products Difference of two squares: Ex: Sum and Difference of Cubes: Ex: These are important rules for factoring!
Factoring: Ex:
Factoring: Grouping Ex.
Factoring Practice 1. 2. 3. 4. 5. 6.
Only a life lived for others A.3a Polynomials and Factoring Homework: Page 975 25-53 EOO Only a life lived for others is a life worthwhile. -Albert Einstein