If α satisfies x² + x + 1 = 0 and (1 + α)⁷ = A + Bα + Cα², where… | JEE Main 2024 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2024 · 27 January, Shift 1Complex Numbers Basics

If $\alpha$ satisfies $x^2 + x + 1 = 0$ and $(1 + \alpha)^7 = A + B\alpha + C\alpha^2$ , where $A, B, C \ge 0$ , then $5(3A - 2B - C)$ is equal to:

A
$5$
B
$6$
C
$7$
D
$8$

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