Simplifying
Domain and Excluded Values
Multiplying/Dividing
Miscellaneous
100
(16p^2)/(28p)
(4p)/7
100
What is the Domain of
45/(10x-10)
{x is all real #s | x does not equal 1}
100
(6r+12)/20 xx (4r)/(6r+12)
r/5
100
An algebraic fractions whose numerator and denominator are polynomials
Rational Expressions
200
(2x-4)/(x-2)
2
200
What is the Domain of
15/(30x^2)
{x is all real #s | x does not equal 0}
200
(x+7)/(7x+35) xx (x^2-3x-40)/(x-8)
(x+7)/7
200
Any values of a variable that results in a denominator equal to zero
excluded values
300
(x-4)/(3x^2-12x)
1/(3x)
300
What are the excluded values for x?
(x-5)/(x^2-10x+25)
5
300
(a-1)/2
300
A relationship between two variables in which the product is constant.
Inverse Variation
400
(x+6)/(x^2+5x-6)
1/(x-1)
400
What are the excluded values for
(x^3-x^2-42x)/(2x^2-20x+42)
3 and 7
400
((b+3)(b-5))/4
400
The first step in dividing rational expressions is to find the __________of its divisor.
Reciprocal