Rational Algebraic Expressions

Presentation on theme: "Rational Algebraic Expressions"— Presentation transcript:

Rational Algebraic Expressions
Objective: To simplify rational algebraic expressions

Rational Algebraic Expression
Quotient of two algebraic expressions Example:

Simplify the following expression:
start by factoring after the polynomials are factored you can “cancel” terms whose quotient is one

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

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.

Try These! Simplify 2x – 1 More try these!
#5 Hint: add and subtract all missing terms

Back to Try These!

Back to Try These!

Back to Try These!

Back to Try These!

Back to Try These!

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}