Simplifying Rational Expressions with Restrictions

When simplifying rational expressions, what is a restriction?

• A value of a variable that makes the expression mathematically illegal.

• A vertical asymptote

• A hole in the graph

• The negative or opposite of the denominator

• The negative or opposite of the numerator

How do we find the restrictions of a rational expression?

• We set the numerator equal to zero and solve for the variable

• We set the denominator equal to zero and solve for the variable

• We plug zero into the numerator and simplify

• We plug zero into the denominator and simplify

• A
• B
• C
• D

(a)  

• F

• G

• H

• J

Simplify the following expression:

• A

• B

• C

• D

Mathematical Equivalence

OFF

What is the simplest form of the expression?

Mathematical Equivalence

ON

SIMPLIFY

• A

• B

• C

• D