If one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeroes is


let α, β & γ be the zeroes of the polynomial ax3 + bx2 + cx + d

And let α = 0(given)


sum of the product of two zeroes at a time = coefficient of x ÷ coefficient of x3 i.e.


c/a = sum of the product of two zeroes at a time


c/a = αβ + βγ + γα


c/a = β (0) + βγ + γ (0) (putting α = 0)


c/a = βγ


The product of the other two zeroes is c/a

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