Question

Q-1 If ∝ and ᵝ are the zeros of the quadratic polynomial f(x)= ax + bx +c then evaluate.

a)
1/alpha^3 + 1/beta^3

Answer 1

Here's the answer
=1/alpha ^3 + 1/beta ^3
=(1.beta^3 +1.alpha^3) / ( alpha.beta )^3
=(alpha +beta)^3-3.alpha.beta( alpha + beta ) /( alpha.beta)^3
=(-b/a)^3- 3.c/a(-b/a) / (c/a)^3
=(-b^3+3abc)/a^3 whole upon (c/a)^3
=(3abc -b^3)/a^3 whole upon (c/ a)^3
=(3abc-b^3)/c^3
Hope my answer will help you......:-) :-)