Consider the polynomial P(x)=x^(6)-x^(5)...

Consider the polynomial `P(x)=x^(6)-x^(5)-x^(3)-x^(2)-x` and `Q(x)=x^(4)-x^(3)-x^(2)-1` .Given that `z_(1),z_(2),z_(3),z_(4)` are the roots of equation `Q(x)=0`,then the value of `P(z_(1))+P(z_(2))+P(z_(3))+P(z_(4))` is equal to

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Consider the polynomial `P(x)=x^(6)-x^(5)-x^(3)-x^(2)-x` and `Q(x)=x^(4)-x^(3)-x^(2)-1` .Given that `z_(1),z_(2),z_(3),z_(4)` are the roots of equation `Q(x)=0`,then the value of `P(z_(1))+P(z_(2))+P(z_(3))+P(z_(4))` is equal to

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