Crey | If α is a root of x 2 + x + 1 = 0 satisfying (1 + α) 7 = a + bα + cα 2 , then the ordered triplet (a, b, c) is (2, 3, 4), (1, 3, 5), (–1, 5, 4), (1, 3, 5)

Question

If α is a root of x² + x + 1 = 0 satisfying (1 + α)⁷ = a + bα + cα², then the ordered triplet (a, b, c) is

Options :

(2, 3, 4)
(1, 3, 5)
(–1, 5, 4)
(1, 3, 5)

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