If one of the zeroes of the cubic polynomial ax 3 + bx 2 + cx + d is zero, the product of the other two zeroes is

Question

Philoid · Accepted Answer

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