4) $$ \frac{x^{4}-x^{3}-12 x^{2}-2 x+8}{x-4} $$

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Calculate or simplify the expression $$ (x^4-x^3-12x^2-2x+8)/(x-4) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\left(x^{4}-x^{3}-12x^{2}-2x+8\right)}{\left(x-4\right)}$$
- step1: Remove the parentheses:
  $$\frac{x^{4}-x^{3}-12x^{2}-2x+8}{x-4}$$
- step2: Factor the expression:
  $$\frac{\left(x-4\right)\left(x^{3}+3x^{2}-2\right)}{x-4}$$
- step3: Reduce the fraction:
  $$x^{3}+3x^{2}-2$$
The simplified form of the expression $$ \frac{x^{4}-x^{3}-12 x^{2}-2 x+8}{x-4} $$ is $$ x^{3}+3x^{2}-2 $$.
The simplified form is $$ x^{3}+3x^{2}-2 $$.

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