Question 2: Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. (i) -1 (ii) 2 (iii) 0,5 4 1 1 4'4 3 (iv) 1,1 (v) (vi) 4.1 Answer: (i) -1 Let the polynomial be ax + bx + c, and its zeroes be a and B. a+B= -b = 4 a =-1= -4 C 4 a If a 4, then b=-1, c=-4 Therefore, the quadratic polynomial is 4x - x - 4. (ii) 2,1 Let the polynomial be ax + bx + c, and its zeroes be a and B. a+B=2= 32 -b = 3 a = 3 a If a 3, then b=-32, c=1