Question

if one of the zeroes of the cubic polynomial ax^3+bx+cx+d is zero,then the product of other two zero is?

Answer 1

The above polynomial can be rewritten as ax^3+(b+c)x+d
let the zeroes be α,β,Φ
if α=0, then
αβ+βΦ+αΦ=0+βΦ+0=(b+c)/a

Answer 2

heya it's Aastha......

b) 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 .

Hope it help u ✌️✌️