# Shared Flashcard Set

## Details

2-Precalculus:Homework 0:Chapter P
2-Precalculus:Homework 0:Chapter P
19
Mathematics
01/07/2016

Term
 What symbols for inequality notation are exclusive?
Definition
 [], greater/less than or equal to
Term
 What symbols for inequality notation are unexclusive?
Definition
 (), <, >
Term
 When adding and subtracting fractions they must have the same what?
Definition
 Denominator
Term
 When multiplying fractions they don't have to have the same what?
Definition
 Denominator
Term
 When dividing fractions, what do you do to the second fraction before you multiply the first and second fraction together?
Definition
 You flip it
Term
 When two exponential terms with the same base are multiplied together?
Definition
 The base stays the same and the exponents are added together.
Term
 a^(-x)=
Definition
 1/(a^x)
Term
 1/(a^(-x))=
Definition
 a^x
Term
 (a^x)^y=
Definition
 a^xy
Term
 (a+b)^2=
Definition
 a^2+2ab+b^2
Term
 (a-b)^2=
Definition
 a^2-2ab+b^2
Term
 How do you factor something in the form ax^y+bx^z?
Definition
 1.)Find the greatest common factor2.)Find the smallest degree3.)The gcf with the smallest degree with an equation that it can be multiplied by to equal the original equation is the answer.
Term
 How do you factor by grouping?
Definition
 1.)Split the problem into two problems that are being added together.2.)Factor each problem3.)Take the Factors of each problem and set them as an addition problem multiplied by the common factor.
Term
 How to factor a trinomial in the form of ax^2+bx+c?
Definition
 1.)Find what factors of "c" have the sum of "b".2.)Set as (x+factor1)(x+factor2)
Term
 How do you reduce a rational expression and find what factors should be excluded from the domain of the rational expression?
Definition
 1.)Factor the numerator2.)Factor the denominator3.)Remove the Common Factors4.)Solve the two values of "t" from the factored denominator to find which factors should be excluded from the domain of the rational expression.
Term
 How do you multiply rational expressions?
Definition
 1.) Set both rational expressions as one with the numerators multiplied by eachother as well as the denominators.2.)Factor the numerator and denominator.3.)Eliminate all common factors between the numerator and denominator.4.)Simplify
Term
 How do you divide rational expressions?
Definition
 1.)Flip the second rational expression.2.)Factor the numerator and denominator of each and eliminate the common factors between each.3.)Set the remaining factors as one rational expression.
Term
 How to find the least common denominator?
Definition
 1.)Factor the denominator of the first and second fraction.2.)Multiply the factors together.3.)Any repeating factors are only accounted for once.
Term
 (a)^(m/n)
Definition
 The n root of a to the m power
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