Answer:
f(x)/g(x) = x+6
Explanation:
f(x) = 3x^2 +16x -12
g(x) = 3x-2
f(x) 3x^2 +16x -12
---- = -------------------
g(x) 3x-2
Factor
f(x) (3 x - 2) (x + 6)
---- = -------------------
g(x) 3x-2
Cancel the common terms
f(x) (x + 6)
---- = -------------------
g(x) 1