# ALGEBRAIC EXPRESSIONS

May 28th, 2015
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Definition 1: ALGEBRAIC EXPRESSIONS – any combination of symbols and numbers related by the fundamental operations of algebra Definition 2: Any algebraic expression consisting of distinct parts connected by a + or

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Shaira Ocampo1styr- BS NursingDefinitionLet j, r,s be integers such that s=j*r then j and r are factors of s.Notationa|b (Read: a divides b) a is a factor of bDefinitionA number is prime iff1. 2. 3. The only factors of are and DefinitionA number is composite iff1. 2. 3. There is a factor of other than and THEOREM {Unique Factorization Theorem}All positive integers greater that 1 could be expressed uniquely as a product of its prime factorsDefinitionTwo numbers are relatively prime iff the factors common to them are .DefinitionLet The fraction is in lowest terms if and are relatively prime.DefinitionA number is even iff 2 is a factor of n where A number is odd iff 2 is not a factor of n where DefinitionA number is positive iff A number is negative iff NOTE: ZERO is NEITHER POSITIVE nor NEGATIVETRUE OR FALSE1. 2. and then .3. 0 has infinitely many factors.4. The greatest common factor of 48 and 80 is 16.5. If x and y are composite then they are relatively prime.6. If n is a real number then n2 is positive.7. such that .8. The set of irrational numbers is closed under addition.ALGEBRAIC EXPRESSIONSDefinition 1: ALGEBRAIC EXPRESSIONS any combination of symbols and numbers related by the fundamental operations of algebraDefinition 2: Any algebraic expression consisting of distinct parts connected by a + or signs is called an ALGEBRAIC SUM.Each distinct parts together with its sign i

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