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The given polynomial is f(p) = p³ - k²p + p + 5
Given that k is a root of the polynomial, so f(k) = 0
⇒ k³ - k²×k + k + 5 = 0
⇒ k³ - k³ + k + 5 = 0
⇒ k + 5 = 0
⇒ k = -5
The value of k is -5.