Question

If one of the zeroes of the cubic polynomial x³+ax²+bx+c is -1 then find the product of the other two zeros.

Answer 1

$cubic \: polynomial \: has \: three \: zeros \\ \alpha \: \beta \: and \: \gamma \: one \: is \: - 1 \\ \alpha \beta \gamma = \frac{ - d}{a} \\ - 1 \alpha \beta = \frac{ - c}{a} \\ \alpha \beta = \frac{c}{a} \: \: \: ans$