5.1 – Basic Properties & Reducing to Lowest Terms

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

Simplifying

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