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Unformatted text preview: ynomial of degree zero. Therefore, we’ll need to continue
until we get a constant in this case.
Here is the rest of the work for this example. © 2007 Paul Dawkins 245 http://tutorial.math.lamar.edu/terms.aspx College Algebra 5 x 2 + 19 x + 76
x  4 5 x3  x 2 + 0 x + 6
 ( 5 x3  20 x 2 )
19 x 2 + 0 x + 6
 (19 x 2  76 x )
76 x + 6
 ( 76 x  304 )
310
Okay, now that we’ve gotten this done, let’s remember how we write the actual answer down.
The answer is, 5x3  x 2 + 6
310
= 5 x 2 + 19 x + 76 +
x4
x4
There is actually another way to write the answer from the previous example that we’re going to
find much more useful, if for no other reason that it’s easier to write down. If we multiply both
sides of the answer by x  4 we get, 5 x3  x 2 + 6 = ( x  4 ) ( 5 x 2 + 19 x + 76 ) + 310
In this example we divided the polynomial by a linear polynomial in the form of x  r and we
will be restricting ourselves to only these kinds of problems. Long division works for much more
general division, but...
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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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