Question

Which answer is a factored form of the expression below?

Answer 1

Answer:

c: is the answer 2 (3 x + 4) (x + 2)

Step-by-step explanation:

Factor the following:

6 x^2 + 20 x + 16

Factor 2 out of 6 x^2 + 20 x + 16:

2 (3 x^2 + 10 x + 8)

Factor the quadratic 3 x^2 + 10 x + 8. The coefficient of x^2 is 3 and the constant term is 8. The product of 3 and 8 is 24. The factors of 24 which sum to 10 are 4 and 6. So 3 x^2 + 10 x + 8 = 3 x^2 + 6 x + 4 x + 8 = 2 (3 x + 4) + x (3 x + 4):

2 2 (3 x + 4) + x (3 x + 4)

Factor 3 x + 4 from 2 (3 x + 4) + x (3 x + 4):

Answer:  2 (3 x + 4) (x + 2)