Factor x^2 - 5x + 6.

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Multiple Choice

Factor x^2 - 5x + 6.

Explanation:
To factor x^2 - 5x + 6, look for two numbers that multiply to the constant term 6 and add to the coefficient of x, which is -5. Those numbers are -2 and -3 because (-2) × (-3) = 6 and (-2) + (-3) = -5. This lets you write the quadratic as (x - 2)(x - 3). Expanding to check: x^2 - 3x - 2x + 6 = x^2 - 5x + 6, which matches. The other binomial pairs produce either the wrong middle coefficient or the wrong constant, so they don’t factor to the given quadratic.

To factor x^2 - 5x + 6, look for two numbers that multiply to the constant term 6 and add to the coefficient of x, which is -5. Those numbers are -2 and -3 because (-2) × (-3) = 6 and (-2) + (-3) = -5. This lets you write the quadratic as (x - 2)(x - 3). Expanding to check: x^2 - 3x - 2x + 6 = x^2 - 5x + 6, which matches. The other binomial pairs produce either the wrong middle coefficient or the wrong constant, so they don’t factor to the given quadratic.

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