1. Bell Ringer 3-7-18 Simplify 3𝑥 6𝑥 Simplify 2𝑥−4 6𝑥+2 Factor (x2 – 9)
Factor (x2 + 4x + 4)
Factor (x3 – 8)

2. Simplifying Rational Expressions
Wednesday, March 7, 2018

3. Rational Expressions are
Fractions with variables.

4. Excluded Values
With fractions, you can not have a denominator of zero because you cannot
divide by zero.
Remember The 1st Commandment of Math is “Thou Shalt Not Divide By Zero”
Anything that makes a denominator of a Rational Expression zero is an Excluded Value.

5. Simplify
Apply the properties of exponents and factoring polynomials.

6. Review: Properties of Exponents
When we multiply, we add.
When we divide, we subtract.
When we raise a power to a power, we multiply.
When we raise a product to a power, we distribute.
When we raise a quotient to a power, we distribute.
Anything to the zero power is 1.
To make a negative exponent positive, flip its location.

7. Polynomial of 4 or more terms
Binomial
1. GCF
2. Difference of Squares
3. Difference of Cubes
4. Sum of Cubes
Review: Factoring
Trinomial
1. GCF
2. Perfect Square Trinomial
3. “Unfoil” or “Unbox”
Polynomial of 4 or more terms
1. GCF
2. Factor by Grouping

8. Examples
𝑥 𝑥 4
𝑎 2 𝑏 3 𝑐 𝑎 7 𝑏 2 𝑐 2
3. 𝑥 2 +9𝑥+20 2𝑥+8
4. 𝑥 2 −6𝑥+8 𝑥 2 +2𝑥−24

9. Practice! Classwork: Simplifying Rational Expressions ODD Homework:
Simplifying Rational Expressions EVEN

10. Exit Ticket
1. Rational Expressions are _________, so we treat them the same way.
2. We simplify by using the ____ of _________ and by _________ to cancel out anything both in the numerator and denominator.
3. We look for extraneous solutions by seeing what will make the __________ 0.