Precalc0006to0010-page17

Precalc0006to0010-page17 - WARNING 4 : Likewise, the root...

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(Section 0.8: Factoring Rational and Algebraic Expressions) 0.8.3 TIP 4 : We will now rewrite the numerator in descending powers of x . This tends to make factoring easier. = ± 2 x 6 ± x 3 ± 1 x 7 Fortunately, we have already factored the numerator in Section 0.7, Example 6. = ± 2 x 3 + 1 () x 3 ± 1 () x 7 = ± 2 x 3 + 1 () x ± 1 () x 2 + x + 1 () x 7 § Example 2 (Factoring with Negative and Fractional Exponents) Factor x 3 + 2 () 1/3 + x 3 + 2 () ± 5/3 over the integers. WARNING 3 : Exponents do not typically distribute over sums.
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Unformatted text preview: WARNING 4 : Likewise, the root of a sum is not typically equal to the sum of the roots. § Solution WARNING 5 : All negative exponents are less than all positive exponents. Observe that ± 5 3 is the least exponent on x 3 + 2 ( ) . Our GCF is x 3 + 2 ( ) ± 5/3 , so we will factor it out and subtract ± 5 3 from each of the exponents on x 3 + 2 ( ) ....
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This document was uploaded on 12/29/2011.

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