a)
[tex](x^3-6x^2+12x-16):(x-4)[/tex]
[tex]\left[\begin{array}{ccccc}&1&-6&12&-16\\4&1&-2&4&0\end{array}\right] \\(x^3-6x^2+12x-16):(x-4)=x^2-2x+4[/tex]
b)
[tex](x^3-x^2-5x+21):(x+3)[/tex]
[tex]\left[\begin{array}{ccccc}&1&-1&-5&21\\-3&1&-4&7&0\end{array}\right] \\(x^3-x^2-5x+21):(x+3)=x^2-4x+7[/tex]
c)
[tex](x^3-3x^2+3x-2):(x-2)[/tex]
[tex]\left[\begin{array}{ccccc}&1&-3&3&-2\\2&1&-1&1&0\end{array}\right] \\(x^3-3x^2+3x-2):(x-2)=x^2-x+1[/tex]
d)
[tex](x^4+5x^3-12x^2+5x+1):(x-1)[/tex]
[tex]\left[\begin{array}{cccccc}&1&5&-12&5&1\\1&1&6&-6&-1&0\end{array}\right] \\(x^4+5x^3-12x^2+5x+1):(x-1)=x^3+6x^2-6x-1[/tex]
