Question

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).

Zeroes of the polynomial p(x) = x² − 3√2 x + 4 are :

The graph of a polynomial p(x) passes through the points (–5, 0), (0, – 40), (8, 0) and (5, – 30). Which among the following is a factor of p(x)?

Find the zeroes of the polynomial q(x) = 6x² – 5x – 1 and verify the relationship between the zeroes of q(x) and its coefficients.