Question

Descompuneti polinomul in factori ireductibili: X^4 - X^2 + 2X +2

Answer 1

x^2(x^2-1)+2(x+1)=
x^2(x-1)(x+1)+2(x+1)=
(x+1)(x^3-x^2+2)

Answer 2

$x^{4}- x^{2} +2x+2=$

grupam

2x+2=2(x+1)

si $x^{4}- x^{2}= x^{2} ( x^{2} -1)$

$( x^{2} -1)=(x+1)(x-1)$

2(x+1)+x²(x+1)(x-1)=(x-1)[2+x²(x+1)]=(x+1)(x³+x²+2)

$x^{4}- x^{2} +2x+2=$(x+1)(x³+x²+2)