Question

Sa se efectueze impartirea de polinoame in Zp [X]
f=xla3+xla2+1
g=x+2
p=3

Answer 1

$p=\widehat{3} \ \ \ ==\ \textgreater \ Z_3= \{\widehat{0};\widehat{1};\widehat{2} \} \\\\\\ \polyhornerscheme{X^3+X^2-\widehat{1}}|\underline{{x-\widehat{2}}} \\ \underline{-x^3+\widehat{2}x^2} \ \ \ | x^2 \\ / =\underline{\widehat{3}x^2-\widehat{1}}\\ .\ \ \ \ \ \underline{\widehat{0}x^2- \widehat{1}}\\ . \ \ \ \ \ \ \ \ \ \ \ \ \ \widehat{2} \\\\\\ X^3+X^2-\widehat{1} \ : \ x- \widehat{2} = x^2 \ \hbox{rest} \ \ \widehat{2}$