Question

If one of thezeros of the cubic polynomial ax3+bx+cx+d is zero then the product 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

Answer:

The product of other two roots is $\frac{c}{a}$.

Step-by-step explanation:

The given cubic polynomial is

$p(x)=ax^3+bx^2+cx+d$

If α, β, γ are three roots then

$\alpha \beta +\beta \gamma + \gamma \alpha =\frac{c}{a}$

On of the zeros of the cubic polynomial is zero. Let γ=0.

$\alpha \beta +\beta (0) + (0) \alpha =\frac{c}{a}$

$\alpha \beta =\frac{c}{a}$

The product of other two roots is $\frac{c}{a}$.