The first step in simplifying a rational expression is to ‾ its numerator and denominator.A.multiplyB.factorC.divideD.subtractSUBMITarrow_backPREVIOUS
Question
The first step in simplifying a rational expression is to ‾ its numerator and denominator.
A. multiply
B. factor
C. divide
D. subtract
SUBMIT
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Solution
Break Down the Problem
- Identify the process involved in simplifying a rational expression.
- Understand the options provided for what the first step in the simplification could be.
Relevant Concepts
- A rational expression is a ratio of two polynomials (the numerator and the denominator).
- Simplifying involves reducing the expression to its simplest form, typically by factoring.
Analysis and Detail
- Option A: Multiply - This does not directly apply to simplification.
- Option B: Factor - This is a common first step in simplifying because it allows us to reduce common terms in the numerator and denominator.
- Option C: Divide - While division may occur, it is not typically the first step in simplification.
- Option D: Subtract - This is not relevant to the process of making a rational expression simpler.
Verify and Summarize
The best and most accurate term to start with in simplifying a rational expression is “factor.”
Final Answer
B. factor is the first step in simplifying a rational expression.
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