Find the quotient and remainder when 9x^4+x^3-12x+21 is divided by x + 4.

Using synthetic division, we have

-4  [  9    1    0     - 12          21  ]

            -36  140   -560   2288

        ___________________

        9  -35  140   -572   2309

So......the quotient is    9x^3 - 35x^2  + 140x - 572   remainder  2309