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Precalc0006to0010-page18

Precalc0006to0010-page18 - x 3 5 ¸ ¹ ¼ = x 6 4 x 3 5 x...

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(Section 0.8: Factoring Rational and Algebraic Expressions) 0.8.4 x 3 + 2 () 1/3 + x 3 + 2 () ± 5/3 = x 3 + 2 () ± 5/3 x 3 + 2 () 1 3 ±± 5 3 ² ³ ´ µ · + 1 ¸ ¹ º » ¼ ½ = x 3 + 2 () ± 5/3 x 3 + 2 () 1 3 + 5 3 + 1 ¸ ¹ º » ¼ ½ = x 3 + 2 () ± 5/3 x 3 + 2 () 2 + 1 ¸ ¹ » ¼ = x 3 + 2 () ± 5/3 x 6 + 4 x 3 + 4 + 1 ¸ ¹ » ¼ = x 3 + 2 () ± 5/3 x 6 + 4
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Unformatted text preview: x 3 + 5 ¸ ¹ » ¼ = x 6 + 4 x 3 + 5 x 3 + 2 ( ) 5/3 Although x 6 + 4 x 3 + 5 is in quadratic form, it is prime over the integers. §...
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