Question

Find the zeroes of the polynomial q(x) = 8x² – 2x – 3. Hence, find a polynomial whose zeroes are 2 less than the zeroes of q(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).

Obtain the zeroes of the polynomial p(x) = 2x² − 5x − 3. Hence, obtain a polynomial each of whose zeroes is one less than each of the zero of p(x).