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Learn how to simplify rational expressions by dividing coefficients and using rules of exponents. Identify values excluded from the domain.
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Warmups – simplify. Hint: Divide coefficients and use rules of exponents (subtract exponents when you divide). Factors cancel!
12-1 Simplifying Rational Expressions Objective: To simplify rational expressions and to identify values excluded from the domain. Standard 12.0
Excluded Values Excluded Values: values that make the denominator zero (because we cannot divide by zero). Always find the excluded values BEFORE you cancel anything out. Examples: State the excluded values
Example 1 Steps: • Factor top and bottom of fraction • Find excluded values (set each factor in the denominator equal to zero and solve) • Cancel out factors (things being multiplied together)
Example 2 Steps: • Factor top and bottom of fraction • Find excluded values (set each factor in the denominator equal to zero and solve) • Cancel out factors (things being multiplied together)
Homework • Pg. 664 # 14 – 31 • Work quietly, raise your hand with any questions
Warm ups Factor completely.
Speaker and Scribe Factor completely.
Speaker and ScribeDirections: Factor completely or write prime if not factorable.
Speaker and ScribeDirections: Factor completely or write prime if not factorable.
Speaker and ScribeDirections: Factor completely or write prime if not factorable.