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The factored form of the equation x^2 + 6x + 9 = 0 is

  1. (x + 6)(x - 9)

  2. (x - 3)(x - 3)

  3. (x + 3)(x + 3)

  4. (x + 3)(x - 3)

The correct answer is: (x + 3)(x - 3)

The factored form of a quadratic equation in the form ax^2 + bx + c = 0 can be found by finding two numbers that multiply to equal c and add to equal b. In this equation, c = 9 and b = 6. Therefore, the two numbers are 3 and 3, making the factored form (x + 3)(x + 3). Option A has the incorrect signs for the factors and Option B has the incorrect value for c. While Option C has the correct factors, their signs are incorrect. Only Option D has the correct factors and signs, making it the correct answer.