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Factorize the quadratic expression: x^2 + 5x + 6

Question

Factorize the quadratic expression: x^2 + 5x + 6

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Solution

To factorize the quadratic expression x^2 + 5x + 6, we need to find two numbers that add up to 5 (the coefficient of x) and multiply to 6 (the constant term).

The numbers that satisfy these conditions are 2 and 3 because:

2 + 3 = 5 2 * 3 = 6

Therefore, the factorized form of the quadratic expression x^2 + 5x + 6 is:

(x + 2)(x + 3)

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