Question

If the product of two zeros of the polynomial p(x) = 2x³ + 6x² – 4x + 9 is 3, then find its third zero.

Answer 1

Let α, β, γ be the roots of the given polynomial and αβ = 3
Then αβγ=-9/2 => 3 x γ= -9/2 or γ=-3/2