Question

descompuneti in factori ireductibili polinomul:
a)X³+2X²(X-2)-8=
b)Xla putera a 6 -4X³+4=
c)X la puterea a 5 -X³+5X²+5X=
d)X la puterea a 4 -X²+2X+2=

Answer 1

A) =$(X-2)^{3}$
B)= $( x^{3}-2) ^{2}$
c)=[tex] x^{3} ( x^{2} -1) + 5X(X+1)= x^{3} (x+1)(x-1) + 5X(x+1)= [/tex]
$=(x+1)( x^{4} - x^{3} + 5x)=X(x+1)( x^{3} - x^{2} +5)$
d)=$x^{2} ( x^{2} -1)+2(x+1)= x^{2} (X-1)(X+1)+ 2 (x+1)= [tex](x+1)( x^{3} - x^{2} +2)$