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If α, β, γ be the zeros of the polynomial p(x) such that (α + β + γ ) = 3, (αβ + βγ + γ α) = ‒10 and αβγ = ‒24 then p(x) = ?
According to the question,
α, β, γ be the zeros of the polynomial p(x)such that (α + β + γ ) = 3, (αβ + βγ + γ α) = ‒10 and αβγ = ‒24
Thus, p(x) = x3 – (α + β + γ )x2 + (αβ + βγ + γ α)x - αβγ
x3 – 3x2 – 10x + 24
Hence, option C is correct.