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2-Precalculus:Homework 0:Chapter P
2-Precalculus:Homework 0:Chapter P
19
Mathematics
Undergraduate 1
01/07/2016

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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 factor
2.)Find the smallest degree
3.)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 problem
3.)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 numerator
2.)Factor the denominator
3.)Remove the Common Factors
4.)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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