Question

If one zero quadratic polynomial 4 x square + 8 x + k is the reciprocal of other then find k

Answer 1

Answer:

$let \: p(x) = 4x {}^{2} + 8x + k \\ let \: one \: zero \: of \: p(x) \: \: \: be \ \: \: \alpha \\ then \: the \: other \: zero \: be \: \frac{1}{ \alpha } \\ product \: of \: zeros \: = \alpha \beta \\ \frac{c}{a} = \alpha \times \frac{1}{ \alpha } \\ \frac{k}{4} = 1 \\ k = 4$