Hence, the required polynomial g(x) is given by .2 8(x)=k(x2 -Sx+1 bx a) =k|x"+=+= I, where k is any non-zero constant. с с - EXERCISE 2.1 1. Find the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and their coefficients: (1) f(x) = x2 - 2x - 8 [NCERT) (ii) 8(s) = 4s2 - 4s + 1 INCERT) (ii) h(t) = {2 - 15 [NCERT) (iv) 6x2 -3-7x [NCERT] (v) p(x) = x² + 272x - 6 (vi) g(x) = 13x² + 10x +713 (vii) f(x) = x2 - (13 + 1).x + 13 (viii) 8(x) = a (x² +1) – x(a? +1)