Solution - PolynomialRootFinder

$$factors\left(\left|a_0\right|\right)=1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576$$

$$factors\left(\left|a_n\right|\right)=1$$

$$x=+/-p/q=-1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-9,9,-12,12,-16,16,-18,18,-24,24,-32,32,-36,36,-48,48,-64,64,-72,72,-96,96,-144,144,-192,192,-288,288,-576,576$$

$$P\left(-1\right)=1617$$

$$P\left(1\right)=25$$

$$P\left(-2\right)=3328$$

$$P\left(2\right)=-192$$

$$P\left(-3\right)=5913$$

$$P\left(3\right)=-207$$

$$P\left(-4\right)=9600$$

$$P\left(4\right)=-128$$

$$P\left(-6\right)=21312$$

$$P\left(6\right)=0$$

$$\left(x-6\right)\left(x^3-22x^2+112x-96\right)=0$$

$$\left(x-6\right)\left(x^2-16x+16\right)=0$$

$$x=1,071797,14,928203$$