EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and...

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