MAT 095 Lecture Notes - Lecture 14: Rational Function, Rational Number
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5. 1 basic properties and reducing to lowest terms notes. Provide a generalization to each of the terms listed in this section. What is a rational number: any possible number that can be expressed as a ratio of two integers, which can be expressed a where: What is a rational expression: any possible expression that can be expressed as a ratio of two polynomials, which can be expressed p. Both p and q are polynomials [and not integers] What occurs when dealing with reducing to lowest terms with rational numbers: when dealing with reducing to lowest terms with rational numbers: Factor out and divide the common numerical factors. What occurs when dealing with reducing to lowest terms with rational expressions: when dealing with reducing to lowest terms with rational expressions: Factor out and divide the common expressional factors. Factor out and divide the common numerical factors [if any]. 4y 5 (cid:0)3y2 + 15y(cid:1) (cid:0)y2 4y 5(cid:1) (y 5) (3y3 + 15y2)
