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factor: \\(x^2 - 5x\\) options: - \\(1(x - 5)\\) - \\(x(x - 5x)\\) - \\…

Question

factor:
\\(x^2 - 5x\\)

options:

  • \\(1(x - 5)\\)
  • \\(x(x - 5x)\\)
  • \\(x(x - 5)\\)
  • \\(x^2(1 - 5)\\)

Explanation:

Identificar el factor común mayor

$$ \text{mcd}(x^2, 5x) = x $$

Factorizar la expresión

$$ x^2 - 5x = x(x - 5) $$

Answer:

  • (A) \(1(x - 5)\)
  • (B) \(x(x - 5x)\)
  • (C) \(x(x - 5)\) (Correct answer)
  • (D) \(x^2(1 - 5)\)