1. Only a life lived for others
A.3a Polynomials
and Factoring
Only a life lived for others
is a life worthwhile.
-Albert Einstein

2. 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

3. Definitions
Like terms: two monomials with the same degree and the same variable
We know that we can add and subtract like terms

4. 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

5. 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

6. 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!

7. Factoring:
Ex:

8. Factoring: Grouping
Ex.

9. Factoring Practice 1. 2. 3. 4. 5. 6.

10. 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