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