α,β,γ are the roots of the equation 2x3+5x2+5x+2=0 Let the roots of the equation a(h)x3+b(h)x2+c(h)x+d=0 are α+h,β+h,γ+h 2(x−h)3+5(x−h)2+5(x−h)+2=0 2x3+(5−6h)x2+(6h2−10h+5)x−2h3+5h2−5h+2=0 By comparing the coefficients, a(h)=2 b(h)=5−6h c(h)=6h2−10h+5 d(h)=−2h3+5h2−5h+2 It can be clearly concluded that c(h)>0,∀h∈R