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Elementary Algebra A review of concepts and computational skills Chapters 5-7

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Polynomials Polynomial—term, degree, constant, coefficient, like terms Monomial, binomial, trinomial Adding and subtracting polynomials– look for like terms

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Multiplying Polynomials Multiplying Polynomials by monomials Multiplying Binomials– FOIL method Special Products

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Dividing Polynomials Dividing polynomials by monomials Dividing polynomials by binomials (long division)

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Properties of Exponents a m x a n = a m+n a m / a n = a m-n a 0 = 1 (a m ) n = a mn (ab) n = a n b n (a/b) n = a n /b n

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Negative Exponents and Scientific Notation a –n = 1/a n 1/a -n = a n (a/b) -n = (b/a) n Scientific Notation: Used for very large or very small numbers: a x 10 n where 1<a<10 and n is an integer

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Factoring Prime, composite numbers; prime factorization GCF- greatest common factor Factoring special products Factor by grouping

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More Factoring Factoring 2 nd degree trinomials for a = 1 Factoring other 2 nd degree trinomials Sum or difference of 2 cubes Solving quadratics by factoring

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Rational Expressions Rational Expression: a ratio of 2 polynomials with denominator not equal to zero Evaluating Finding values x cannot be (domain) Reducing

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Multiply and Divide Rational Expressions Multiply—simplify first, then multiply Divide– flip second expression, then simplify and multiply

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Add and Subtract Rational Expressions Find the LCD– least common denominator Convert denominators Add or subtract, then simplify

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More Rational Expressions Complex fractions Solving equations with rational expressions

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