If z and 1/z are the zeros of the polynominal 4x^2-2x+(k-4),find the value of k.
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Solution
Let the given polynomial be p(x) = 4x2 − 2x +(k − 4) Given z and 1/z are zeros of the given polynomial Product of zeroes = (c/a) That is ( z ×1/z) = (k − 4)/4 ⇒ 1 = (k − 4)/4 ⇒ 4 = (k − 4) ∴ k = 8