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Do Now 5/29/09 Copy HW in your planner. Copy HW in your planner. Text p. 797, #4-38 evens Text p. 797, #4-38 evens Take out HW from last night. Take out HW from last night. Cumulative Test Cumulative Test In your notebook, define and give two examples of rational numbers. In your notebook, define and give two examples of rational numbers. Text p. 762, #1-16 all, not 2 Text p. 762, #1-16 all, not 2

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Homework Text p. 762, #1-16 all; not 2 1) 40 1) 40 3) 2 3) 2 4) -1 4) -1 5) (x – 5)(x + 3) 5) (x – 5)(x + 3) 6) 2(x – 3)(x – 1) 6) 2(x – 3)(x – 1) 7) (3x + 5)(3x – 5) 7) (3x + 5)(3x – 5) 8) 3x(x + 4)(x – 4) 8) 3x(x + 4)(x – 4) 9) 1 1/12 9) 1 1/12 10) 19/40 10) 19/40 11) 1/3 11) 1/3 12) 1 1/4 12) 1 1/4 13) 9/4 13) 9/4 14) 6 14) 6 15) -3, 2 15) -3, 2 16) 13 16) 13

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Objective SWBAT simplify rational expressions. SWBAT simplify rational expressions.

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Section 12.4 “Simplify Rational Expressions” A RATIONAL EXPRESSION is an expression that can be written as a ratio (fraction) of two polynomials where the denominator is not 0. A rational expression is UNDEFINED when the denominator is equal to 0. A number that makes a rational expression undefined is called an EXCLUDED VALUE.

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Find the excluded values, if any, of the expression. EXAMPLE 1 Factor Use quadratic formula to find when w = 0. There are no excluded values

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Simplify Rational Expressions To simplify a rational expression, you can factor the numerator and denominator and then divide out any common factors. To simplify a rational expression, you can factor the numerator and denominator and then divide out any common factors. A rational expression is in SIMPLEST FORM if the numerator and denominator have no factors in common other than 1. A rational expression is in SIMPLEST FORM if the numerator and denominator have no factors in common other than 1.

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Simplify the rational expression, if possible. State the excluded values. EXAMPLE 2 Factor

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Simplify the rational expression, if possible. State the excluded values. EXAMPLE 3 Factor Factor

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Simplify the rational expression, if possible. State the excluded values. EXAMPLE 4 Factor Recognize oppositesRecognizeopposites Multiply by -1 Rewrite (4-x) as -(x-4) Factor Recognizeopposites Multiply by -1 Rewrite (z-5) as -(z+5)

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Classwork/Homework Text p. 797, #4-36 multiples of 4 Text p. 797, #4-36 multiples of 4

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Homework Practice worksheet 12.4 evens 6) 8) 14) 16) 4) 18) 2) 10) 12)

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Algebra 11-3 and 11-4. Simplifying Rational Expressions A rational expression is an algebraic fraction whose numerator and denominator are polynomials.

Algebra 11-3 and 11-4. Simplifying Rational Expressions A rational expression is an algebraic fraction whose numerator and denominator are polynomials.

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