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EXPONENTS AND POLYNOMIALS
College Algebra
Integral Exponents and Scientific Notation
Positive and negative exponentsProduct rule for exponentsZero exponentChanging the sign of an exponentQuotient rule for exponentsScientific notation
Power Rules
Raising an exponential expression to a powerRaising a product to a powerRaising a quotient to a powerVariable exponentsSummary of the rulesApplications
Polynomials and Polynomial Functions
PolynomialsEvaluating polynomials and polynomial
functionsAddition and subtraction of polynomialsMultiplication of polynomials
Multiplication of Binomials
The FOIL methodThe square of a binomialProduct of a sum and a differenceHigher powers of binomialsPolynomial functions
Factoring Polynomials
Factoring out the greatest common factor (GCF)
Factoring by groupingFactoring the difference of two squaresFactoring perfect square trinomialsFactoring a difference or sum of two cubesFactoring a polynomial completely
Factoring ax2 + bx + c
Factoring trinomials with leading coefficient 1
Factoring trinomials with leading coefficient not 1
Trial and errorFactoring by substitution
Factoring Strategy
Prime polynomialsFactoring polynomials completelyStrategy for factoring polynomials
Solving Equations
The zero factor propertyApplications