1. Mohandas Karamchand Gandhi
Strength does not come from physical capacity. It comes from an indomitable will.
Mohandas Karamchand Gandhi
Early to bed and early to rise makes a man healthy, wealthy and wise.
Benjamin Franklin
Education is the most powerful weapon which you can use to change the world.
Nelson Mandela

2. R4 Polynomials Identify polynomials and their degree
Add / Subtract polynomial expressions
Multiply polynomial expressions

3. The degree of a monomial is the sum of the exponents of the variables
The product of a constant times a variable raised to a nonnegative integer power
The degree of a monomial is the sum of the exponents of the variables

4. Variables with negative exponents
Monomials cannot have the following:
Variables with negative exponents
Variable exponents
Variables under the radical sign

5. Monomials
Monomial
Coefficient
Degree

6. A monomial or the sum of monomials
Polynomials
A monomial or the sum of monomials
The degree of a polynomial is the monomial with the highest degree

7. Polynomials
Polynomial
Coefficients
Degree

8. Adding and Subtracting
Change (–) to (+) of the opposite
Combine all like terms
Write your answer in standard form

9. Express your answer as a single polynomial

10. Multiplying Polynomials
Follow all rules for order of operations
FOIL Method for multiplying binomials
Distributive Property for all others
Follow all rules of exponents
Write your answer in standard form

11. Special Products

12. Express your answer as a single polynomial

13. R6 Polynomial and Synthetic Division

14. Polynomial Division
List all of the terms with their powers in descending order
Divide the polynomial until the degree of the divisor is greater than the degree of the remainder
Write the remainder over the divisor

15. Dividend
Divisor

16. Divide each polynomial using long division

17. Synthetic Division
List all of the terms with their powers in descending order
Replace any missing terms with a coefficient of 0
List all of the coefficients in descending order
Set the divisor equal to zero and solve
Write your final answer using the coefficients as one power less than the original polynomial
Write the remainder over the divisor

18. Divide each polynomial using
synthetic division

19. Synthetic Division
Use synthetic division to determine whether x – c is a factor of the given polynomial