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Lesson 4 - Lesson 4 Polynomial a sum of any number of...

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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
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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 -
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