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Rational Algebraic Expressions Objective: To simplify rational algebraic expressions.

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Presentation on theme: "Rational Algebraic Expressions Objective: To simplify rational algebraic expressions."— Presentation transcript:

1 Rational Algebraic Expressions Objective: To simplify rational algebraic expressions

2 Rational Algebraic Expression Quotient of two algebraic expressions Example:

3 Simplify the following expression: 1.start by factoring 2.after the polynomials are factored you can cancel terms whose quotient is one

4 Finding domain and zeros Given: Start by factoring the numerator and denominator. The domain of the function is all reals except where the denominator equals zero x 0x + 2 0x – 2 0 x 0x -2x 2

5 Zeros of the function The zeros of the function are where the numerator equals zero. 2x + 1 = 0x – 2 = 0 x = -½ x = 2 Remember x = 2 is not in the domain so it cannot be a zero of the function.

6 Try These! Simplify 5. 2.2x – 12x – 1 5. #5 Hint: add and subtract all missing terms More try these!

7 Back to Try These!

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12 Try These! Find the domain and zeros of the function 1.D: x 0, x -4 zeros {2, -2} 2.D: x -1/3 x -4 zeros {-3/2, -2} 3.D: x -1 zeros {-2}


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