Let f(x) = ax² +bx+325 is a polynomial, where a and b are real numbers. The zeroes of f (x) are distinct prime numbers. Find the

Question

CASE_STUDIESPrime Factorisation of Natural NumbersRelationship Between Zeroes and Coefficients of Quadratic Polynomial2 sub-questions

If the sum of zeroes of the polynomial p(x) = 2x² − k√2 x + 1 is √2, then value of k is :

The zeroes of a polynomial x² + px + q are twice the zeroes of the polynomial 4x² − 5x − 6. The value of p is :