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UPCAT Mathematics practice question 20: Factor completely: x² + 7x + 12

Correct answer

A. (x + 3)(x + 4)

The two numbers must multiply to 12 and add to 7, which are 3 and 4.

The question

Factor completely: x² + 7x + 12

  1. Option A: (x + 3)(x + 4)Correct
  2. Option B: (x + 2)(x + 6)
  3. Option C: (x + 1)(x + 12)
  4. Option D: (x − 3)(x − 4)

Why A is correct

The two numbers must multiply to 12 and add to 7, which are 3 and 4.

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