1. Today
 Make-Up of Friday’s Test will be Thursday
 Khan Academy due next Monday
 Warm-Up
 Begin Rational Expressions Unit
 Class Work
May
27

2. 40
2
x2
– x + 2 = 0
(x – 2)(x + 1) Solutions are: x = 2, x = -1
Extraneous Solution is x = -1
𝟏
𝟑
+
𝟑
𝟒
= 1
𝟏
𝟏𝟐
Warm-Up/Review:

3. Can be written as 2 + 2Polynomial?
Simplify

4. To Simplify a rational expression:
1. Factor the numerator & denominator
2. Divide out any common factors
Simplifying Rational Expressions:
A rational expression is fully simplified if the
fraction has no common factors other than 1.

5. A rational expression is undefined when the
denominator is 0.
Any number that makes the denominator zero is
called an excluded value.
Excluded Values:
x ≠ 8, -8 p ≠
𝟏
𝟐
q ≠ 3

6. Simplify by Factoring:
One of the most often used methods of simplifying is to
factor the polynomials, and then cancel like factors.
Remember, terms cannot be cancelled, only factors can
be cancelled.
2a + 6
4a - 2
Simplify:
=
𝟔
𝟒
NO,NO,NO, CANNOT!
2a + 6
4a - 2
2(a + 3)
2(a – 1)
YES!!!

7. Simplify by Factoring:

8. For example:
Use this understanding to simplify these last examples

9. The entire fraction is negative

10. Class Work: See Handout