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Factor x^2 + 7x + 12

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Answer
(x+3)(x+4)\boxed{(x + 3)(x + 4)}

Multiplying the factors back out using FOIL gives x2+4x+3x+12x^2 + 4x + 3x + 12, which simplifies to the original expression, x2+7x+12x^2 + 7x + 12.

Problem: Factor the quadratic expression x2+7x+12x^2 + 7x + 12.

Steps

  1. Find two numbers that multiply to 12 and add to 7
    3 and 43 \text{ and } 4
  2. Write the expression as the product of two binomials using those numbers
    (x+3)(x+4)(x + 3)(x + 4)

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