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Elementary Algebra

Elementary Algebra. A review of concepts and computational skills Chapters 5-7. Polynomials. Polynomial—term, degree, constant, coefficient, like terms Monomial, binomial, trinomial Adding and subtracting polynomials– look for like terms. Multiplying Polynomials.

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Elementary Algebra

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

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

  3. Multiplying Polynomials • Multiplying Polynomials by monomials • Multiplying Binomials– FOIL method • Special Products

  4. Dividing Polynomials • Dividing polynomials by monomials • Dividing polynomials by binomials (long division)

  5. Properties of Exponents • am x an = am+n • am / an = am-n • a0 = 1 • (am)n = amn • (ab)n = an bn • (a/b)n = an/bn

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

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

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

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

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

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

  12. More Rational Expressions • Complex fractions • Solving equations with rational expressions

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