Answer:
(2 n + 1) (n + 7)
Explanation:
Factor the following:
2 n^2 + 15 n + 7
Factor the quadratic 2 n^2 + 15 n + 7. The coefficient of n^2 is 2 and the constant term is 7. The product of 2 and 7 is 14. The factors of 14 which sum to 15 are 1 and 14. So 2 n^2 + 15 n + 7 = 2 n^2 + 14 n + n + 7 = 7 (2 n + 1) + n (2 n + 1):
7 (2 n + 1) + n (2 n + 1)
Factor 2 n + 1 from 7 (2 n + 1) + n (2 n + 1):
Answer: (2 n + 1) (n + 7)