If one zero of the polynomial p(x) = 6x^2 + 37 x - (k-2) is reciprocal

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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.

Ans:

Let’s consider the one zero of the given polynomial be $If one zero of the polynomial$ , then other zero will be $If one zero of the polynomial$ .

We know that

Product of the zeroes (α x β) = $If one zero of the polynomial$

$If one zero of the polynomial$ $If one zero of the polynomial$

or 6 = – (k – 2)

Hence, k = – 4

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