5.1 – Basic Properties & Reducing to Lowest Terms

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Presentation transcript:

5.1 – Basic Properties & Reducing to Lowest Terms Rational Expression: a ratio of two polynomials Simplify the following rational expressions

5.1 – Basic Properties & Reducing to Lowest Terms Simplifying

5.1 – Basic Properties & Reducing to Lowest Terms Simplifying

5.1 – Basic Properties & Reducing to Lowest Terms The Difference Quotient 𝑓 𝑥 −𝑓(𝑎) 𝑥−𝑎 𝑓 𝑥+ℎ −𝑓(𝑥) ℎ 𝑓 𝑥 =−3𝑥 𝑓 𝑥 −𝑓(𝑎) 𝑥−𝑎 𝑓 𝑥+ℎ −𝑓(𝑥) ℎ −3(𝑥+ℎ)−(−3𝑥) ℎ −3𝑥−(−3𝑎) 𝑥−𝑎 −3𝑥−3ℎ+3𝑥 ℎ −3𝑥+3𝑎 𝑥−𝑎 −3ℎ ℎ −3(𝑥−𝑎) 𝑥−𝑎 −3 −3

5.2 – Multiplication & Division of Rational Expressions

5.2 – Multiplication & Division of Rational Expressions 1 Multiplication: 2 1 3

5.2 – Multiplication & Division of Rational Expressions

5.2 – Multiplication & Division of Rational Expressions

5.2 – Multiplication & Division of Rational Expressions

5.2 – Multiplication & Division of Rational Expressions

5.2 – Multiplication & Division of Rational Expressions

5.2 – Multiplication & Division of Rational Expressions

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