I am trying to find the integral roots (if they exist) of the following polynomial. Additionally, it would be helpful if someone could explain an algorithmic approach to solving this.
$$ f(x) = 2x^3 - 12x^2 -14x + 120 $$
2026-03-26 06:00:49.1774504849
cubic integral roots
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$$ 2x^3−12x^2−14^x+120\\ \\f(x)=2(x^3-6x^2-7x+60)=0\\check\\\pm1,\pm2,\pm3,\pm5,\pm6,\pm10,\pm15,\pm20\pm30,\pm60$$ when check them,you will find f(-3)=0 , f(4)=0 ,f(+5)=0 ,
so now divide by (x-4) and(x-4) ,and (x+3) to find simple form
I mean 2(x-5)(x-4)(x+3)