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Instructions: Classify the expressions by the number of terms. x2+3x+9𝑥2+3𝑥+9 6xy6𝑥𝑦

Question

Instructions: Classify the expressions by the number of terms.

  • Expression 1: x^2 + 3x + 9
  • Expression 2: 6xy
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Solution

To classify the given expressions by the number of terms, we will analyze each expression separately.

  1. Identify the Expressions

    • Expression 1: x2+3x+9x^2 + 3x + 9
    • Expression 2: 6xy6xy
  2. Count the Terms

    • For Expression 1:

      • The terms are x2x^2, 3x3x, and 99.
      • Therefore, there are 3 terms in this expression.
    • For Expression 2:

      • There is only one term, 6xy6xy.
      • Therefore, there is 1 term in this expression.
  3. Classify the Expressions

    • Expression 1 x2+3x+9x^2 + 3x + 9 has 3 terms (trinomials).
    • Expression 2 6xy6xy has 1 term (monomial).

Final Answer

  • x2+3x+9x^2 + 3x + 9: 3 terms (Trinomial)
  • 6xy6xy: 1 term (Monomial)

This problem has been solved

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