51 MONOMIALS

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5-1 MONOMIALS

• Define
• Monomial
• Constant
• Coefficient
• Degree of a monomial
• Scientific Notation

2

• B. Exponent Roles
• Negative Exponents
• Multiplying Powers
• Properties of powers
• Power of a Power
• Power of a Product
• Power of a Quotient

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5-2 POLYNOMIALS

• Define
• Like terms 6. FOIL method
• Polynomial
• Term
• Trinomial
• Binomial

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• B. Simplify

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5-3 DIVIDING POLYNOMIALS

• Long Division
• Synthetic Division

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5-4 FACTORING

• Define
• Prime number
• Factor
• Factoring Table P. 274

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• C. Examples

8

• C. Example Answers

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5-5 ROOTS OF REAL NUMBERS

• Define
• Square Root
• nth Root
• Radical Sign
• Radicand
• Index

10

• B. Examples

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5-6 RADICAL EXPRESSIONS

• Properties of Radicals
• Product Property
• Quotient Property
• Define
• Rationalizing the denominator
• Like radical expressions
• Conjugate

12

• C. Examples

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5-7 RATIONAL EXPONENTS

• Define
• 1. 2. Rational Exponents
• Examples

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5-8 SOLVING EQUATIONS CONTAINING RADICALS

• Define
• Radical Equation
• Extraneous Solutions
• Steps, If variable is outside
• Solve for x
• Simplify

15

• B. Steps for Radical Equations
• Solve for radical
• Square both sides
• Solve
• Check for extraneous solutions
• C. Steps for two radicals
• 1. Square both sides
• 2. Follow steps in B

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• D. Examples

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5-9 COMPLEX NUMBERS

• Define
• Pure Imaginary Number
• Complex Number
• Equal Complex Number

18

• B. Examples

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5-10 SIMPLIFYING EXPRESSIONS CONTAINING COMPLEX
NUMBERS

• Define Complex Conjugate
• Find the complex conjugate

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• C. Simplify