Q)  If one zero of the polynomial p(x) = 6×2 + 37 x – (k-2) is reciprocal of the other, then find the value of k.


Let’s consider the one zero of the given polynomial be \alpha, then other zero will be \frac{1}{\alpha}.

We know that

Product of the zeroes (α x β) = \frac{c}{a}

\therefore    (\alpha) (\frac{1}{\alpha}) =  \frac{-(k-2)}{6}

or 6 = – (k – 2)

Hence, k = – 4

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