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Unformatted text preview: ial because it has a negative exponent and all exponents in a
polynomial must be positive.
To see why the second one isn’t a polynomial let’s rewrite it a little.
2 5 x - x + x = 5x - x + x2
2 By converting the root to exponent form we see that there is a rational root in the algebraic
expression. All the exponents in the algebraic expression must be integers in order for the
algebraic expression to be a polynomial. As a general rule of thumb if an algebraic expression
has a radical in it then it isn’t a polynomial.
© 2007 Paul Dawkins 25 http://tutorial.math.lamar.edu/terms.aspx College Algebra Let’s also rewrite the third one to see why it isn’t a polynomial. 23
+ x - 2 = 2 x -1 + x 3 - 2
So, this algebraic expression really has a negative exponent in it and we know that isn’t allowed.
Another rule of thumb is if there are any variables in the denominator of a fraction then the
algebraic expression isn’t a polynomial.
Note that this doesn’t mean that radicals and fr...
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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