Add and Subtract Polynomials Lesson 9.1 OBJ: to add and subtract polynomials.

Monomial A number, variable, or the product of a number and one or more variables with whole number exponents. A number, variable, or the product of a number and one or more variables with whole number exponents. Degree of a Monomial Degree of a Monomial The sum of the exponents of the variables in the monomial.The sum of the exponents of the variables in the monomial.

Polynomial A monomial or a sum of monomials (each called a term). A monomial or a sum of monomials (each called a term). Degree of a Polynomial Degree of a Polynomial The greatest degree of its terms.The greatest degree of its terms.

Leading Coefficient The coefficient of the first term when a polynomial is written so that the exponents of a variable decrease from left to right. The coefficient of the first term when a polynomial is written so that the exponents of a variable decrease from left to right.

Different Polynomials Monomial – a polynomial with only 1 term. Monomial – a polynomial with only 1 term. Binomial – a polynomial with 2 terms. Binomial – a polynomial with 2 terms. Trinomial – a polynomial with 3 terms. Trinomial – a polynomial with 3 terms. All others are just referred to as polynomials. All others are just referred to as polynomials.

Adding Polynomials Just like adding like terms; you only add the coefficients. Just like adding like terms; you only add the coefficients. You can add horizontally or vertically. You can add horizontally or vertically.

Subtracting Polynomials Distribute the negative. Distribute the negative. Drop the parentheses. Drop the parentheses. Combine like you would with addition of polynomials. Combine like you would with addition of polynomials. Add subtract horizontally or vertically. Add subtract horizontally or vertically.