Given P(x)=x3+x2+x+1\displaystyle {P}{\left({x}\right)}={x}^{{3}}+{x}^{{2}}+{x}+{1}, find the zeros, real and non-real of P\displaystyle {P} 

The zeros are

Write P\displaystyle {P} in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=\displaystyle {P}{\left({x}\right)}=.