Question

Assertion (A) : If the graph of a polynomial touches x-axis at only one point, then the polynomial cannot be a quadratic polynomial. Reason (R) : A polynomial of degree n(n >1) can have at most n zeroes.

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