[" Hence,the required polynomial "g(x)" is given by "],[qquad g(x)=k(x^(2)-Sx+P)=k(x^(2)+(bx)/(c)+(a)/(c))," where "k" is any non-zero constant."],[[" 1.Find the zeros of each of the following quadratic polynomials and verify the "],[" relationship between the zeros and their coefficients: "],[" (iii) "h(t)=x^(2)-2x-8[NCERT]," (iv) "6x^(2)-3-7x],[" (iii) "h(t)=x^(2)+2sqrt(2)xT]," (vi) "6x^(2)-3-7x],[" (vii) "f(x)=x^(2)+2sqrt(2)x-6," (vi) "q(x)=sqrt(3)x^(2)+10x+7sqrt(3)],[" (vii) "f(x)=x^(2)-(sqrt(3)+1)x+sqrt(3)," (viii) "g(x)=a(x^(2)+1)-x(a^(2)+1)]]