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Unformatted text preview: Lesson 4 Polynomial: - a sum of any number of monomials - each monomial is called a term - the exponent of the variable in each term is called the degree - if a term has more than one variable, the sum of all the variable exponents is the degree - the degree of the polynomial is greatest degree of all the terms - the coefficient of the term with the highest degree is called the leading coefficient Adding polynomials: - combine like terms (terms with the same variables to the same powers) Distributive property (monomial times polynomial): ( ) Subtracting polynomials: - use the distributive property and combine like terms - here the distributive property is used to multiply by each term in a polynomial Importance of using parentheses:- if you are subtracting one term, parentheses are not required, but can still be used - when you are subtracting a quantity, parentheses MUST BE USED because you must subtract every term in the quantity Multiplying polynomials: - use the distributive property and the properties of exponents - here the distributive property can be used as above to distribute one term or it can be used to distribute multiple terms - Product Formulas (page 32; useful for factoring, but be sure to understand) Distributive property (polynomial times polynomial): ( )( ) ( ) ( ) Dividing a polynomial by a monomial: - divide each term in the polynomial by the monomial, simplify each of the resulting quotients...
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