Precalc0006to0010-page4

# Precalc0006to0010-page4 - expressions Â An algebraic...

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(Section 0.6: Polynomial, Rational, and Algebraic Expressions) 0.6.4 PART F: RATIONAL AND ALGEBRAIC EXPRESSIONS A rational expression in x can be expressed in the form: polynomial in x nonzero polynomial in x Example Set 3 (Rational Expressions) Examples of rational expressions include: a) 1 x . b) 5 x 3 ± 1 x 2 + 7 x ± 2 . Irrational coefficients such as ± 2 are permissible as coefficients of either polynomial. c) x 7 + x which equals x 7 + x 1 ± ² ³ ´ µ . In fact, all polynomials are rational
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Unformatted text preview: expressions. Â§ An algebraic expression in x is also permitted to contain non-integer rational powers of variable expressions (and their equivalents in radical form). Example Set 4 (Algebraic Expressions) Examples of algebraic expressions include: a) x 1/ 2 , or x . b) x 3 + 7 x 5/7 x Â± x + 5 3 + Â² . â€¢ (See Footnote 1.) All rational expressions are algebraic. Â§...
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