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Which of the following is a factor of x2 + 6x - 24?

  1. x - 4

  2. x - 3

  3. x + 6

  4. x + 24

The correct answer is: x - 4

A factor is a number or polynomial that can be multiplied by another number or polynomial to get a given result. In this case, x2 + 6x - 24 can be factored into (x + 8)(x - 3). To find the factors, we need to look for two numbers that when multiplied give us -24, and when added give us 6. Option A, x - 4, does not satisfy this condition as x - 4 = x - 3 + 1. Option B, x - 3, is the correct answer as x - 3 = x - 8 + 5. Option C, x + 6, does not fit the conditions as x + 6 = x - 8 + 14. Option D, x + 24, does not satisfy the condition as x + 24 = x +