Question

if 1 of the zero of the cubic polynomial a x cube +b x square +c x plus D is 0 the product of the then other 2 0 is

Answer 1

Hey

Here is your answer,

Let p(x) =ax3 + bx2 + cx + d

Given that, one of the zeroes of the cubic polynomial p(x) is zero.
Let α, β and γ are the zeroes of cubic polynomial p(x), where a = 0.
We know that,

then,

sum of product of zeroes = c/a

alpha × beta + beta× gamma + gmma × alpha = c/a

0 × beta + beta × gamma + gamma×0 =c/a

beta / gamma = c/a .

Hence ,

The other two zeroes are c /a .