Question

If one of the zeroes of the cubic polynomial $a{x}^2+b{x}^2+cx+d$ is zero. Then find the product of other two zeroes.

Answer 1

$\begin{array}{c}a{x}^2+b{x}^2+cx+d\\ let\alpha =0,\beta ,\gamma \\ \alpha \beta \gamma =-\frac{d}{a}\\ 0\times \beta \gamma =-\frac{d}{a}\\ 0=-\frac{d}{a}\\ d=0\\ \alpha \beta +\beta \gamma +\gamma \alpha =\frac{c}{a}\\ 0+\beta \gamma +0=\frac{c}{a}\\ \beta \gamma =\frac{c}{a}\end{array}$