Question

If one of the zeroes of the cubic polynomial x^(3)+ax^(2)+bx+c is -1 then find the product of the other two zeroes.​

Answer 1

Let x₁ and x₂ be the other two roots.

We know,

product of roots of a cubic equation =

- constant term/cofficient of x³

∴ (-1)(x₁)(x₂) = - c/1

=> x₁x₂ = c

∴ product of the other two roots is c.

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