Ramya is very good at mathematics. Her friends want to test her mathematical knowledge of the relation between roots and coefficients of polynomials. So, they asked some questions to test her knowledge. Ramya's friends started asking questions one by one.
1. If \(1\), \(2\) and \(-4\) are zeros of a polynomial then find the equation of the polynomial.
2. If one zero of a polynomial is \(-5\) and product of zeros is \(-35\) then the polynomial is
3. Sum of zeros of the polynomial \(3x^2-5x-4\)
4. If \(\alpha, \beta\) are the zeros of the polynomial \(-x^2+3x+28\) then find the value of \(\alpha^2+\beta^2\)