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

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

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

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

Monomials Monomial Coefficient Degree

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

Polynomials Polynomial Coefficients Degree

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

Express your answer as a single polynomial

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

Special Products

Express your answer as a single polynomial

R6 Polynomial and Synthetic Division

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

Dividend Divisor

Divide each polynomial using long division

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

Divide each polynomial using synthetic division

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