Question 2

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

(i) $\dfrac{1}{4}, -1$     (ii) $\sqrt{2}, \dfrac{1}{3}$     (iii) $0, \sqrt{5}$

(iv) $1, 1$     (v) $-\dfrac{1}{4}, \dfrac{1}{4}$     (vi) $4, 1$