If p, q, r are positive integers and \omega is the cube root of unity and f(x)=x^{3 p}+x^{3 q+1}+x^{3+2}, then what is f(\omega) equal to?

UPSC NDA II 2011 Mathematics Paper

Question : 77 of 120

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If p,q,r are positive integers and ω is the cube root of unity and f(x)=x3p+x3q+1+x3+2, then what is f(ω) equal to?

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