Bell Ringer 4 22 19 Simplifying Rational Expressions

Bell Ringer 4 -22 -19

Simplifying Rational Expressions Monday, April 22, 2019

Rational Expressions are Fractions with variables.

$Excluded Values With fractions, you can not have a denominator of zero because you$

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

Simplify Apply the properties of exponents and factoring polynomials.

Review: Properties of Exponents 1. 2. 3. 4. 5. 6. 7. 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.

Review: Factoring Trinomial 1. GCF 2. Perfect Square Trinomial 3. “ac-b box” or “unfoil” Binomial 1. GCF 2. Difference of Squares 3. Difference of Cubes 4. Sum of Cubes Polynomial of 4 or more terms 1. GCF 2. Factor by Grouping

To Simplify: Make 1 as much as you can.

Examples

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

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