However if there are many terms in the polynomial and

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Unformatted text preview: these are the kinds of problems we are going to seeing the later sections. In fact we will be seeing these kinds of divisions so often that we’d like a quicker and more efficient way of doing them. Luckily there is something out there called synthetic division that works wonderfully for these kinds of problems. In order to use synthetic division we must be dividing a polynomial by a linear term in the form x - r . If we aren’t then it won’t work. Let’s redo the previous problem with synthetic division to see how it works. Example 2 Use synthetic division to divide 5 x3 - x 2 + 6 by x - 4 . Solution Okay with synthetic division we pretty much ignore all the x’s and just work with the numbers in the polynomials. First, let’s notice that in this case r=4. Now we need to set up the process. There are many different notations for doing this. We’ll be using the following notation. 4 5 -1 0 6 © 2007 Paul Dawkins 246 College Algebra The numbers to the right of the vertical bar are the coefficients of the terms in the polynomial wri...
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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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