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College Algebra

College Algebra . EXPONENTS AND POLYNOMIALS. Integral Exponents and Scientific Notation . Positive and negative exponents Product rule for exponents Zero exponent Changing the sign of an exponent Quotient rule for exponents Scientific notation. Power Rules.

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College Algebra

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  1. College Algebra EXPONENTS AND POLYNOMIALS

  2. Integral Exponents and Scientific Notation • Positive and negative exponents • Product rule for exponents • Zero exponent • Changing the sign of an exponent • Quotient rule for exponents • Scientific notation

  3. Power Rules • Raising an exponential expression to a power • Raising a product to a power • Raising a quotient to a power • Variable exponents • Summary of the rules • Applications

  4. Polynomials and Polynomial Functions • Polynomials • Evaluating polynomials and polynomial functions • Addition and subtraction of polynomials • Multiplication of polynomials

  5. Multiplication of Binomials • The FOIL method • The square of a binomial • Product of a sum and a difference • Higher powers of binomials • Polynomial functions

  6. Factoring Polynomials • Factoring out the greatest common factor (GCF) • Factoring by grouping • Factoring the difference of two squares • Factoring perfect square trinomials • Factoring a difference or sum of two cubes • Factoring a polynomial completely

  7. Factoring ax2 + bx + c • Factoring trinomials with leading coefficient 1 • Factoring trinomials with leading coefficient not 1 • Trial and error • Factoring by substitution

  8. Factoring Strategy Prime polynomials Factoring polynomials completely Strategy for factoring polynomials

  9. Solving Equations The zero factor property Applications

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