Note that the first factor is completely factored

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Unformatted text preview: together to get the given polynomial. We then try to factor each of the terms we found in the first step. This continues until we simply can’t factor anymore. When we can’t do any more factoring we will say that the polynomial is completely factored. Here are a couple of examples. x 2 - 16 = ( x + 4 ) ( x - 4 ) This is completely factored since neither of the two factors on the right can be further factored. Likewise, x 4 - 16 = ( x 2 + 4 ) ( x 2 - 4 ) is not completely factored because the second factor can be further factored. Note that the first factor is completely factored however. Here is the complete factorization of this polynomial. x 4 - 16 = ( x 2 + 4 ) ( x + 2 ) ( x - 2 ) The purpose of this section is to familiarize ourselves with many of the techniques for factoring polynomials. © 2007 Paul Dawkins 31 College Algebra Greatest Common Factor The first method for factoring polynomials will be factoring out the greatest common factor. When factoring in general this will also be the first thing that we should try as it will often simplify the problem. To use this method all that we do is look at al...
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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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