Answer:
x - 4
Explanation:
Please write X2-7x+12 by x-3 as x^2 - 7x + 12. The " ^ " represents exponentiation.
Notice that x^2 - 7x + 12 factors as follows: (x - 3)(x - 4), and so the original division problem
x^2 - 7x + 12 (x - 3)(x - 4)
-------------------- becomes -------------------- = x - 4
x - 3 x - 3
for all x except x = 3 (because we cannot divide by zero).