if alpha beta gamma are the zeros of the polynomial ax3+bx2+cx+d.find the value of alpha square beta square and gamma square. Share with your friends Share 17 Ashwini Kumar answered this We have,fx=ax3+bx2+cx+dα, β and γ are the roots of fx∴α+β+γ=-baαβ+βγ+αγ=caAndαβγ=-daNow,α+β+γ2=α2+β2+γ2+2αβ+βγ+αγ⇒-ba2=α2+β2+γ2+2ca⇒α2+β2+γ2=b2a2-2ca⇒α2+β2+γ2=b2-2aca2 69 View Full Answer