Divide using synthetic division.
(x^4-12x^2-12)/(x+3)
To divide using synthetic division, set up the polynomial equation with the divisor as the factor and find the corresponding coefficients:
-3 | 1 | 0 | -12 | 0 | -12
| -3 | 9 | -81 | 243
________________________
1 | -3 | -3 | -93 | 231
The resulting quotient is 1x^3 - 3x^2 - 3x - 93 and the remainder is 231.
Therefore, (x^4 - 12x^2 - 12)/(x + 3) = x^3 - 3x^2 - 3x - 93 + (231/(x + 3)).