Download presentation

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}

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google