To factor the quadratic expression x² + 7x + 12, we need to find two numbers whose product is 12 and whose sum is 7. These numbers are 3 and 4, since 3 × 4 = 12 and 3 + 4 = 7. Therefore, we can write:
x² + 7x + 12 = (x + 3)(x + 4)
So, the factored form of the expression is (x + 3)(x + 4).
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