Question

descompuneti in factori :

$x^{4}+ x^{3}+ 2x^{2}+x+1$
Ajutati-ma va rog !

Answer 1

$x^{4}+ x^{3}+2 x^{2} +x+1= \\ = (x^{4}+ x^{3} + x^{2} )+( x^{2} +x+1)= \\ = x^{2} ( x^{2} +x+1)+( x^{2} +x+1)= \\ =\boxed{( x^{2} +x+1)( x^{2} +1)}.$