Question

What is the factorization of 3x^2+27x+60

Answer 1

Factor the following:
3 x^2 + 27 x + 60
Factor 3 out of 3 x^2 + 27 x + 60:
3 (x^2 + 9 x + 20)
The factors of 20 that sum to 9 are 5 and 4. So, x^2 + 9 x + 20 = (x + 5) (x + 4):
Answer: 3 (x + 5) (x + 4)