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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 3-m (b) 2 ¸ [Solution] m + 5m + 6 m + 2 y2 + 5 y + 4 (c) [Solution] y2 -1 y+5 © 2007 Paul Dawkins 45 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.

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