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 , then other zero will be .
We know that
Product of the zeroes (α x β) =
or 6 = – (k – 2)
Hence, k = – 4