What is the quotient of (5x2 − 22x + 8) ÷ (x − 4)?

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".

2nd one in the first row is correct