Which answer is a factored form of the expression below?

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):

 2 (3 x + 4) (x + 2)

32

step-by-step explanation:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!