Question

factor the following trinomial completely 3x^2+12x+12

Answer 1

Factor the following:
3 x^2 + 12 x + 12
Factor 3 out of 3 x^2 + 12 x + 12:
3 (x^2 + 4 x + 4)
The factors of 4 that sum to 4 are 2 and 2. So, x^2 + 4 x + 4 = (x + 2) (x + 2):
3 (x + 2) (x + 2)
(x + 2) (x + 2) = (x + 2)^2:
Answer:  3 (x + 2)^2