Exercise 2.2

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (i) x2 - 2x - 8 (ii) 4 s2 - 4s + 1 (iii) 6x2 - 3 - 7x (iv) 4 u2 + 8u (v) t2 - 15 (vi) 3x2 - x - 4

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) $4, 1$