p.4: fractional expressions unit p: prerequisites for algebra 5-trig
TRANSCRIPT
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P.4: Fractional Expressions
Unit P: Prerequisites for Algebra 5-Trig
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Vocabulary
• Domain: Set of real numbers for which the algebraic expression is defined.
• Two expressions are equivalent if they have the same domain and yield the same values for all numbers in their domain.
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Finding the Domain
• A polynomial: all real numbers
• Radical expression: make sure that the radicand is nonnegative.
• Rational expression: make sure that the denominator is not equal to zero.
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Simplifying Rational Expressions
• Factor the numerator and the denominator.
• Divide out common factors.
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Operations with Rational Expressions
• Multiplying • Factor and multiply straight across. • Divide out common factors
• Dividing• Factor, flip the second fraction and multiply
straight across.• Divide out common factors.
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Operations with Rational Expressions
• Adding/Subtracting• Factor the denominator• Find the LCD• Add/Subtract• Factor numerator• Divide out common factors.
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Compound Fractions
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Simplifying Compound Fractions
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Simplifying Compound Fractions