Question

If the zeroes of the polynomial ax² + bx + 2a/b are reciprocal of each other, then the value of b is

Find the zeroes of the polynomial p(x) = 3x² – 4x – 4. Hence, write a polynomial whose each of the zeroes is 2 more than zeroes of p(x).

Find the zeroes of the polynomial r(x) = 4x² + 3x − 1. Hence, write a polynomial whose zeroes are reciprocal of the zeroes of polynomial r(x).

Find the zeroes of the polynomial p(x) = 6x² − 5x − 1. Hence, obtain a polynomial each of whose zeroes is three times the zeroes of p(x).