Question

costruct a cubic equation with roots 1,2,3

Answer 1

Answer:

(i) Given roots are α = 1, β = 2, γ = 3  The cubic equation is  x3 – x2 (α + β + γ) + x (αβ + βγ + γα) – αβγ = 0  ⇒ x3 – x2 (1 + 2 + 3) + x (2 + 6 + 3) – (1) (2) (3) = 0  ⇒ x3 – 6x2 + 11x – 6 =0