Which of the following is the factored form of the quadratic equation x^2 - 5x +

Which of the following is the factored form of the quadratic equation x^2 - 5x + 6?

Which of the following is the factored form of the quadratic equation x^2 - 5x + 6?

Step 1: Start with the quadratic equation x^2 - 5x + 6.
Step 2: Identify the constant term, which is 6. We need to find two numbers that multiply to 6.
Step 3: Identify the coefficient of the x term, which is -5. We need the two numbers to also add up to -5.
Step 4: List the pairs of numbers that multiply to 6: (1, 6) and (2, 3).
Step 5: Check the pairs to see which can add up to -5. The numbers -2 and -3 multiply to 6 and add to -5.
Step 6: Write the factored form using the numbers found: (x - 2)(x - 3).

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