CBSE Class 10 Mathematics (Standard) — Polynomials

The graph of $y = f(x)$ is given. The number of zeroes of f(x) is : (a) 0 (b) 1 (c) 2 (d) 4

Assertion (A) : The polynomial $p(y) = y^2 + 4y + 3$ has two zeroes. Reason (R) : A quadratic polynomial can have at most two zeroes. (a) Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A). (b) Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A). (c) Assertion (A) is true, but Reason (R) is false. (d) Assertion (A) is false, but Reason (R) is true.

If $\alpha, \beta$ are the zeroes of the polynomial $p(x) = x^2 - 3x - 1$, then find the value of $\frac{1}{\alpha} + \frac{1}{\beta}$.