Answer:
5x - 2
Step-by-step explanation:
We can use synthetic division to find this quotient quickly (but factoring and long division, or even the quadratic formula, would also work).
Setting up synthetic div.:
4 / 5 -22 8
20 -8
---------------------
5 -2 0 This zero remainder tells us that (5x - 2) is a
factor, as is (x - 4).
(5x2 − 22x + 8)
Thus, (5x2 − 22x + 8) ÷ (x − 4) = ------------------------- = 5x - 2 (quotient)
x - 4
Here we may call the result either "factor" or "quotient".
