Question

If α, β are the zeros of the polynomial f(x) = x² + x + 1, then $\frac{1}{\mathrm{\alpha }}+\frac{1}{\mathrm{\beta }}=$

(a) 1
(b) −1
(c) 0
(d) None of these

Answer 1

Since and are the zeros of the quadratic polynomial

We have

The value of is

Hence, the correct choice is _.