Question

Complete the factorization. X^2 + 5x + 6 = (x + [ ] )(x + 2)

A. (x + 3)(x + 2)
B. (x + 4)(x + 1)
C. (x + 2)(x + 3)
D. (x + 5)(x + 1)

Answer 1

To factorize x^2 + 5x + 6, we can use the method of finding two numbers that multiply to give the constant term and add up to the coefficient of the middle term.

Step-by-step explanation:

To factorize the quadratic expression x^2 + 5x + 6, we need to find two numbers that multiply to give 6 and add up to 5. The numbers in this case are 2 and 3. Therefore, the factorization is (x + 2)(x + 3). Hence, the correct answer is option C. (x + 2)(x + 3).