1. Rational Expressions & Equations

2. What is a Rational Expression It is a Monomial which is a number or letter(variable) or combination. 3x 15a 2 b 8a 2 b 2x 5 /3y u 34 OR IT’S A POLYNOMIAL QUOTIENT

4. Reduce With Caution

7. Think of a Factor Tree 96 4 12 6222 32222

8. What is a Simplifying

11. Simplifying Rational Expressions FACTOR FIRST

12. Simplifying Rational Expressions The Key is to: FACTOR & REDUCE

13. FACTOR

14. REDUCE Normally x can be any real # but since you can’t divide by 0 x can be any real # except 0. For x=0 this algebraic expression is UNDEFINED.

15. FACTOR

16. REDUCE

17. Simplify Simplifying Polynomials

18. Simplify 2 3 21 Simplifying Polynomials 1.Factor numerator & denom.

19. Simplify 2 3 21 Simplifying Polynomials 1.Factor numerator & denom. 2.Reduce

20. Simplify 2 3 21 Simplifying Polynomials 1.Factor numerator & denom. 2.Reduce 3.Name undefined values (Where denominator is 0)

21. FACTOR FIRST 2 3 21

22. NOW REDUCE For y=1 this algebraic expression is UNDEFINED.

23. Now Try These FACTOR & REDUCE

24. Answers Are there any values which are UNDEFINED?

25. Undefined When is 2x+1=0? When x=-1/2 When is 4x+3=0? When x=-3/4

26. Can You Reduce This?

27. Factor Out a Neg. 1

28. New Try These