Answer:
x ≈ 3.28547335182
Step-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.
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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 root
Dividing 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
