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Pre-Calculus Sec 1.4 Rational Expressions Objectives: To review domain To simplify rational expressions
Vocabulary A quotient of two algebraic expressions is a fractional expression. A rational expression is a fractional expression where both the numerator and denominator are polynomials.
Domain The domain of an algebraic expression is the set of real numbers that the variable is permitted to have. Some basic expressions and their domains.
Ex 1. Find the domain of each expression. a) b) c)
Class Work Find the domain of each expression. 1.2.
Simplifying Rational Expressions Ex 2. Simplify. a) b)
To multiply rational expressions, we use this property of fractions: Multiplying Rational Expressions
Ex 3. Perform the indicated operation and simplfy.
Dividing Rational Expressions To divide rational expressions, we use this property of fractions:
Ex 4. Perform the indicated operation and simplify.
Class Work Multiply or divide and simplify. 3) 4) 5)
Adding & Subtracting Rational Expressions To add or subtract rational expressions, we first find a common denominator and then use this property of fractions:
Ex 4. Perform the indicated operation & simplfy. a) b)
Class Work 6) 7)
Compound Fractions A compound fraction is a fraction in which the numerator, the denominator, or both, are themselves fractional expressions.
Ex 5. Simplify
Common Errors to Avoid
Hw #4 p41 1,4,5,7,10,11,15 22,25,27,34,39,42,45,49,51
Rational Algebraic Expressions
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Copyright © Cengage Learning. All rights reserved. Fundamentals.
Simplifying When simplifying a radical expression, find the factors that are to the nth powers of the radicand and then use the Product Property of Radicals.
Chapter P Prerequisites: Fundamental Concepts of Algebra Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 P.6 Rational Expressions.
Section 1.4 Rational Expressions
Rational Expressions rational expression: quotient of two polynomials x2 + 3x x + 2 means (x2 + 3x - 10) ÷ (3x + 2) restrictions: *the denominator.
Copyright © 2007 Pearson Education, Inc. Slide R-1.
Section R5: Rational Expressions
9.2 Adding and Subtracting Rational Expressions Least Common Denominator of a polynomial of a polynomial.
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Do Now: Factor the expression, if possible.. Academy Algebra II/Trig R7: Rational Expressions HW: tonight: p (8-32 every other even), tomorrow:
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P.4: Fractional Expressions Unit P: Prerequisites for Algebra 5-Trig.
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