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Unformatted text preview: division that we should
look at. In the general case above both the numerator and the denominator of the rational
expression where fractions, however, what if one of them isn’t a fraction. So let’s look at the
following cases. a
b
c a
c
d Students often make mistakes with these initially. To correctly deal with these we will turn the
numerator (first case) or denominator (second case) into a fraction and then do the general
division on them. a
a
a d ad
=1= × =
c
c
1c
c
d
d
a
a
b = b = a ×1 = a
c
c
b c bc
1
Be careful with these cases. It is easy to make a mistake with these and incorrectly do the
division.
Now let’s take a look at a couple of examples. Example 2 Perform the indicated operation and reduce the answer to lowest terms.
x 2  5 x  14
x2  4
(a) 2
×2
[Solution]
x  3 x + 2 x  14 x + 49
m2  9
3m
(b) 2
¸
[Solution]
m + 5m + 6 m + 2
y2 + 5 y + 4
(c)
[Solution]
y2 1
y+5
© 2007 Paul Dawkins 45 http://tutorial.math.lamar.edu/terms.aspx College Algebra Solution
Notice that with this problem we have star...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
 Spring '12
 MrVinh

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