Unit 7 Module A (1).pdf - Unit 7 \u2013 Rational Expressions and Equations Module 7A Sections 20.1 \u2013 20.3 7A Multiplying and Simplifying Rational

Unit 7 Module A (1).pdf - Unit 7 u2013 Rational...

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Unit 7 Rational Expressions and Equations Module 7A Sections 20.1 20.3
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7A Multiplying and Simplifying Rational Expressions Find all numbers for which a rational expression is not defined. 2 Rational numbers are quotients of integers. The following are called rational expressions or fraction expressions. They are quotients, or ratios, of polynomials:
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7A Multiplying and Simplifying Rational Expressions Find all numbers for which a rational expression is not defined. 3 A rational expression is also a division. For example,
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7A Multiplying and Simplifying Rational Expressions Find all numbers for which a rational expression is not defined. 4 When a variable is replaced with a number that produces a denominator equal to zero, the rational expression is not defined. For example, in the expression when x is replaced with 2 the denominator is 0, and the expression is not defined:
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7A Multiplying and Simplifying Rational Expressions Find all numbers for which a rational expression is not defined. Example 1 Find all numbers for which the rational expression is not defined. 5
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7A Multiplying and Simplifying Rational Expressions Find all numbers for which a rational expression is not defined. Example 1 6 The rational expression is not defined for the replacement numbers 5 and 2. Solution
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7A Multiplying and Simplifying Rational Expressions Simplify rational expressions by factoring the numerator and the denominator and removing factors of 1. 7 In algebra, instead of simplifying a fraction like we may need to simplify an expression like To simplify, we can do the reverse of multiplying. We factor the numerator and the denominator and “remove” a factor of 1.
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7A Multiplying and Simplifying Rational Expressions Simplify rational expressions by factoring the numerator and the denominator and removing factors of 1.
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