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Factor x^2 - 5x + 6

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Answer
(x−2)(x−3)\boxed{(x - 2)(x - 3)}

Multiplying the factors back out yields x2−3x−2x+6=x2−5x+6x^2 - 3x - 2x + 6 = x^2 - 5x + 6, confirming the result.

Problem: Factor the quadratic expression x2−5x+6x^2 - 5x + 6.

Steps

  1. Find two numbers that multiply to 6 and add to -5
    −2 and −3-2 \text{ and } -3
  2. Write the factored form using these numbers
    (x−2)(x−3)(x - 2)(x - 3)

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