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Unformatted text preview: e difference of two perfect squares.
The correct factoring of this polynomial is then, x 4 + x 2 - 20 = ( x - 2 ) ( x + 2 ) ( x 2 + 5 )
Note that this converting to u first can be useful on occasion, however once you get used to these
this is usually done in our heads.
[Return to Problems] We did not do a lot of problems here and we didn’t cover all the possibilities. However, we did
cover some of the most common techniques that we are liable to run into in the other chapters of
this work. © 2007 Paul Dawkins 40 http://tutorial.math.lamar.edu/terms.aspx College Algebra Rational Expressions
We now need to look at rational expressions. A rational expression is nothing more than a
fraction in which the numerator and/or the denominator are polynomials. Here are some
examples of rational expressions. 6
x -1 z2 -1
z2 + 5 m4 + 18m + 1
m2 - m - 6 4 x 2 + 6 x - 10
1 The last one may look a little strange since it is more commonly written 4 x 2 + 6 x - 10 .
However, it’s important to note that polynomials can be thought of as ra...
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- Spring '12