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