Answer:
(6 x + 7) (x + 4) thus A:
Step-by-step explanation:
Factor the following:
6 x^2 + 31 x + 28
Factor the quadratic 6 x^2 + 31 x + 28. The coefficient of x^2 is 6 and the constant term is 28. The product of 6 and 28 is 168. The factors of 168 which sum to 31 are 7 and 24. So 6 x^2 + 31 x + 28 = 6 x^2 + 24 x + 7 x + 28 = 4 (6 x + 7) + x (6 x + 7):
4 (6 x + 7) + x (6 x + 7)
Factor 6 x + 7 from 4 (6 x + 7) + x (6 x + 7):
Answer: (6 x + 7) (x + 4)
