What are the approximate values of the non-integral roots of the polynomial equation? x4 − 4x3 = 6x2 − 12x

Answer:   x ≈ 3.28547335182Step-by-step explanation:We assume your polynomial is supposed to be ...   [tex]x^4-4x^3+6x^2-12x[/tex]The only integral root is x=0._____The approximate value of the non-integral root can be found by graphing to be 3.285. This value can be refined using Newton's Method iteration to give ...   x ≈ 3.28547335182 . . . . approximate non-integer real rootDividing the known real roots from the quartic gives a quadratic function with a vertex at approximately (0.357, 3.525). Then the complex roots are approximately ...   0.357 ± i√3.525 . . . . approximate complex roots