Question

If one zero of the polynomial p(x) = 6x² + 37x – (k – 2) is reciprocal of the other, then find the value of k.

Answer 1

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