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Question
If one zero of the polynomial p(x) = 6x2 + 37x – (k – 2) is reciprocal of the other, then find the value of k.
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Solution
Let one zero be x and other zero be `1/x`
∴ Product of zeroes = `c/a`
`\implies x xx 1/x = (-(k - 2))/6`
`\implies` 1 = `(2 - k)/6`
`\implies` 6 = 2 – k
`\implies` k = 2 – 6 = –4
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