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## Kayla Corey

on 31 March 2015

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Rational Expression
Definition-Is an expression where one polynomial is divided by another.
Rule#1: The denominator
can not
equal zero.
Steps for Solving Rationals with same denominator
2:Write the sum/difference as the numerator over denominator
3:Reduce(if necessary)
Example
Problem: 5x-1/x+8 - 3x+4/x+8
(5x-1)-(3x+4)/x+8 what to do: subtract the like terms in numerator
2x-5/x+8
Rational Expressions with different denominators
1:Factor each denominators
2:Find least common denominator
3:Rewrite expression with the least common denominator
5:Rewrite the sum/difference over common denominator
6:Reduce(if necessary)
Example
Problem: 5x-1/x^2-3x+2 +3/2x-4
Find LCD. For the first equation the Lcd is 2(x-1),(x-2)
5x-1/(x-1)(x-2)+3/2(x-1)(x-2)
Rewrite expression with LCD
2(5x-1)/2(x-1)(x-2)+3(x-1)/2(x-1)(x-2)
rewrite
2(5x-1)+3(X-1)/2(x1-1)(x-2)=