Question

Sub II, exercitiul 2, subpunctul a)...

Answer 1

ax³+bx²+cx+d
a, b, c,d pot lua
a=2 valori  (1^ si 2^)
b,c si d , in mod independent una de alta, cate 3 valori ( 0^ 1^ si 2^)
total 2*3*3*3=2*27=54 polinoame, 54 elemente
card G=54

extra
b)
x^³+x^²+2=0
ptx=0^, 2=2^≠0^ nu verifica
ptx=1^, 1+1+2=4=1^≠0^ nu verifica
ptx=2^, 8+2+2=12=0^, verifica
deci are o singura radacina, 2^

c)x^³+x²^+2^
pt x=0^, 2^≠0^
pt x=1^, 1^≠0^,
ptx=2^, 8+4+2=14=2^≠0^
dac nu are nici o radacina in Z3, este ireductibil