Precalc0006to0010-page16

Precalc0006to0010-page16 - (Section 0.8: Factoring Rational...

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(Section 0.8: Factoring Rational and Algebraic Expressions) 0.8.2 Example 1 (Factoring with Negative Exponents) Factor x ± 7 + x ± 4 ± 2 x ± 1 over the integers. § Solution Observe that ± 7 is the least exponent on x . Our GCF is x ± 7 , so we will factor it out and subtract ± 7 from each of the exponents. x ± 7 + x ± 4 ± 2 x ± 1 = x ± 7 1 + x ± 4 ±± 7 () ± 2 x ± 1 7 = x ± 7 1 + x ± 4 + 7 ± 2 x ± 1 + 7 = x ± 7 1 + x 3 ± 2 x 6 TIP 2 : Observe that this last trinomial has no negative exponents on x . This is a sign that we have factored out the GCF correctly. WARNING 1 : We usually try to avoid negative exponents in final answers, so we will rewrite the
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