Question

given that one of the zeros of the cubic polynomial
${ax}^{3} + {bx}^{2} + {cx}^{1} + d$

is zero, find the product of the other two zeros
​

Answer 1

We generally know that the sum of product of roots of a cubic equation is given by c/a

Given one root is 0

Let the other roots be α,β

So,

αβ + β(0) + (0)α = c/a

αβ = c/a

Hence the product of other two roots is c/a