Precalc0006to0010-page7

Precalc0006to0010-page7 - power . Make sure to apply the...

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(Section 0.7: Factoring Polynomials) 0.7.2 TIP 2 : Sometimes, it is helpful to factor out ± 1 , particularly when a polynomial has a negative leading coefficient . Example 3 (Factoring out -1 First) Factor ± 8 x 5 ± 6 x 3 . § Solution ± 8 x 5 ± 6 x 3 = ± 8 x 5 + 6 x 3 () = ± 2 x 3 4 x 2 + 3 () WARNING 1 : Sometimes, people confuse signs if they try to factor out ± 2 x 3 immediately. § WARNING 2 : Be careful when factoring the base of a
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Unformatted text preview: power . Make sure to apply the exponent to all factors. Example 4 (Factoring out of a Power) x 3 + x ( ) 5 is not equivalent to x x 2 + 1 ( ) 5 . The following is correct: x 3 + x ( ) 5 = x x 2 + 1 ( ) 5 = x 5 x 2 + 1 ( ) 5 Each factor of the base must be raised to the exponent, 5. See Section 0.5, Law 4: xy ( ) n = x n y n ....
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This document was uploaded on 12/29/2011.

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