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Rational Algebraic Expressions

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Presentation on theme: "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:
start by factoring after the polynomials are factored you can “cancel” terms whose quotient is one

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

5 Zeros of the function The zeros of the function are where the numerator equals zero. 2x + 1 = 0 x – 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 2x – 1 More try these!
#5 Hint: add and subtract all missing terms

7 Back to Try These!

8 Back to Try These!

9 Back to Try These!

10 Back to Try These!

11 Back to Try These!

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


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