Solution - PolynomialRootFinder

$$factors\left(\left|a_0\right|\right)=1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936$$

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

$$x=+/-p/q=-1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-9,9,-12,12,-13,13,-18,18,-24,24,-26,26,-36,36,-39,39,-52,52,-72,72,-78,78,-104,104,-117,117,-156,156,-234,234,-312,312,-468,468,-936,936$$

$$P\left(-1\right)=1911$$

$$P\left(1\right)=375$$

$$P\left(-2\right)=3456$$

$$P\left(2\right)=96$$

$$P\left(-3\right)=5751$$

$$P\left(3\right)=-9$$

$$P\left(-4\right)=9000$$

$$P\left(4\right)=-24$$

$$P\left(-6\right)=19296$$

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

$$\left(x-6\right)\left(x^3-18x^2+98x-156\right)=0$$

$$\left(x-6\right)\left(x^2-12x+26\right)=0$$

$$x=2,837722,9,162278$$