解答 - PolynomialRootFinder

$$factors\left(\left|a_0\right|\right)=1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000$$

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

$$x=+/-p/q=-1,1,-2,2,-4,4,-5,5,-8,8,-10,10,-16,16,-20,20,-25,25,-32,32,-40,40,-50,50,-64,64,-80,80,-100,100,-125,125,-160,160,-200,200,-250,250,-320,320,-400,400,-500,500,-800,800,-1000,1000,-1600,1600,-2000,2000,-4000,4000,-8000,8000$$

$$P\left(-1\right)=9001$$

$$P\left(1\right)=7001$$

$$P\left(-2\right)=16064$$

$$P\left(2\right)=64$$

$$P\left(-4\right)=76096$$

$$P\left(4\right)=-51904$$

$$P\left(-5\right)=148625$$

$$P\left(5\right)=-101375$$

$$P\left(-8\right)=782144$$

$$P\left(8\right)=-241856$$

$$x=-4.986522+8.636909i,-4.986522-8.636909i,-1.002703-1.736732i,-1.002703+1.736732i,9.973044,2.005406$$