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The first step in simplifying a rational expression is to ‾​ its numerator and denominator.A.multiplyB.factorC.divideD.subtractSUBMITarrow_backPREVIOUS

Question

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Solution

Break Down the Problem

  1. Identify the process involved in simplifying a rational expression.
  2. 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

  1. Option A: Multiply - This does not directly apply to simplification.
  2. Option B: Factor - This is a common first step in simplifying because it allows us to reduce common terms in the numerator and denominator.
  3. Option C: Divide - While division may occur, it is not typically the first step in simplification.
  4. 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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