141

a)
\begin{array}{l|l}
&3x^2+3x+1\\
\hline
x+5&3x^3+18x^2+16x+5\\
&3x^3+15x^2\\
&---------\\
&3x^2+16x+5\\
&3x^2+15x\\
&---------\\
&x+5\\
&x+5\\
&---------\\
&0
\end{array}
b)
\begin{array}{l|l}
&x^2-2x-7\\
\hline
x-2&x^3-3x-2\\
&x^3-2x^2\\
&------\\
&-2x^2-3x-2\\
&-2x^2-4x\\
&------\\
&-7x-2\\
&-7x-2\\
&------\\
&0
\end{array}
c)
\begin{array}{l|l}
&x^2-\frac{7}{3}x+\frac{10}{9}\\
\hline
3x^2-2x&3x^4-5x^3+8x^2-4x+2\\
&3x^4-2x^3\\
&------\\
&-7x^3+8x^2\\
&-7x^3+\frac{14}{3}x^2\\
&------\\
&\frac{10}{3}x^2-4x+2\\
&\frac{10}{3}x^2-\frac{20}{9}x\\
&------\\
&\frac{16}{9}x+2
\end{array}
x^2-\frac{7}{3}x+\frac{10}{9}{,}\ jää\ \frac{16}{9}x+2