EXPONENTS AND POLYNOMIALS College Algebra

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 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

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

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

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

Factoring ax 2 + bx + c Factoring trinomials with leading coefficient 1 Factoring trinomials with leading coefficient not 1 Trial and error Factoring by substitution

Factoring Strategy Prime polynomials Factoring polynomials completely Strategy for factoring polynomials

Solving Equations The zero factor property Applications