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Unformatted text preview: Lesson 3 Algebraic expression: - the result obtained by applying operations to a collection of numbers and variables - in order to find the value of an algebraic expression, specific numbers must be substituted in for the variables Domain: - set of real numbers that may represent the variables - when substituted for the variables, the real numbers do not make the expression meaningless (fractions and radicals with even roots) Monomial: - an expression of the form Where is real and is a nonnegative integer Binomial: - sum of two monomials Trinomial: - sum of three monomials 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 Leading coefficient:...
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