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

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Presentation on theme: "EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero."— Presentation transcript:

1 EXPONENTS AND POLYNOMIALS College Algebra

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 ax 2 + 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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