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Unformatted text preview: l the terms and determine if there is a factor that is
in common to all the terms. If there is, we will factor it out of the polynomial. Also note that in
this case we are really only using the distributive law in reverse. Remember that the distributive
law states that a ( b + c ) = ab + ac In factoring out the greatest common factor we do this in reverse. We notice that each term has
an a in it and so we “factor” it out using the distributive law in reverse as follows, ab + ac = a ( b + c ) Let’s take a look at some examples. Example 1 Factor out the greatest common factor from each of the following polynomials.
(a) 8 x 4  4 x 3 + 10 x 2 [Solution]
(b) x3 y 2 + 3 x 4 y + 5 x5 y 3 [Solution]
(c) 3 x 6  9 x 2 + 3 x [Solution]
(d) 9 x 2 ( 2 x + 7 )  12 x ( 2 x + 7 ) [Solution]
Solution
(a) 8 x 4  4 x 3 + 10 x 2
First we will notice that we can factor a 2 out of every term. Also note that we can factor an x2
out of every term. Here then is the factoring for this problem. 8 x 4  4 x 3 + 10 x 2 = 2 x 2 (...
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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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