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EXPONENTS AND POLYNOMIALS College Algebra

EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

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Page 1: EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

EXPONENTS AND POLYNOMIALS

College Algebra

Page 2: EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

Integral Exponents and Scientific Notation

Positive and negative exponentsProduct rule for exponentsZero exponentChanging the sign of an exponentQuotient rule for exponentsScientific notation

Page 3: EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

Power Rules

Raising an exponential expression to a powerRaising a product to a powerRaising a quotient to a powerVariable exponentsSummary of the rulesApplications

Page 4: EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

Polynomials and Polynomial Functions

PolynomialsEvaluating polynomials and polynomial

functionsAddition and subtraction of polynomialsMultiplication of polynomials

Page 5: EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

Multiplication of Binomials

The FOIL methodThe square of a binomialProduct of a sum and a differenceHigher powers of binomialsPolynomial functions

Page 6: EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

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

Page 7: EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

Factoring ax2 + bx + c

Factoring trinomials with leading coefficient 1

Factoring trinomials with leading coefficient not 1

Trial and errorFactoring by substitution

Page 8: EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

Factoring Strategy

Prime polynomialsFactoring polynomials completelyStrategy for factoring polynomials

Page 9: EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero

Solving Equations

The zero factor propertyApplications