Practice Objectives
- Demonstrate the ability to find the domain of a rational expression
- Demonstrate the ability to simplify a rational expression
Practice Writing a Rational Expression in Lowest Terms
Instructions:
Answer 7/10 questions correctly to pass.
Find the domain of each rational expression and give the simplified form.
Find "a" to complete the domain.
Find "b" to complete the simplified form.
Notes:
- The domain is always in terms of the original rational expression, not the simplified form
- Fractions for any domain restrictions can be written using the "/" key
- All fractions must be simplified
- Negative fractions can be written as -p/q or p/-q
- Only non-zero integers are accepted for the b-input field
Problem:
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Finding the Domain of a Rational Expression:
Always find the domain of the original rational expression before doing any simplifying.
- Set the denominator equal to 0
- Solve the resulting equation
- Write out the domain:
- The domain includes all real numbers except the solutions to the equation
- These solutions must be removed since they create a denominator of zero
Simplifying a Rational Expression:
- Factor the numerator and denominator completely
- Cancel all common factors between the numerator and denominator other than 1
Step-by-Step:
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