Question

Decompuneti in factori, grupand convenabil termenii :
$x^{3}$ + $x^{2}$ + x +1

Answer 1

= x² ( x +1 ) + ( x+1 ) = ( x +1 ) · ( x² +1 )

Answer 2

x³ + x² + x + 1 = ( x³ + x² ) + ( x + 1)
                       = x²( x + 1) + ( x + 1)
                       = ( x + 1)(x² + 1)