Pankaj's father gave him some money to buy avocado from the market at the rate of \(p(x) = x^2 - 24x + 128\). Let \(\alpha,\beta\) be the zeroes of \(p(x)\).
Based on the above information, answer the following questions.
1. Find the value of \(\alpha\) and \(\beta\), where \(\alpha < \beta\).
2. Find the value of \(\alpha + \beta + \alpha\beta\).
3. The value of \(p(4)\) is
4. If \(\alpha\) and \(\beta\) are zeroes of \(x^2 + x - 2\), then \(\frac{1}{\alpha}+\frac{1}{\beta}\)
5. If sum of zeroes of \(q(x) = kx^2 + 6x + 11k\) is equal to their product, then \(k =\)