Question

We want to find the zeros of this polynomial:
p(x)=5x³-5x²-10x​

Answer 1

answer

use the relationship between the roots and coefficients of polynomial.

$\alpha + \beta + \gamma = - \binom{b}{a}$

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

$\alpha \beta \gamma = - \binom{d}{a}$

here

$\alpha \: \: \beta \: \: \gamma \: are \: \: \: roots \: of \: the \: polynomial$