The roots of the polynomial equation are -1.73, 1.73 and 0
How to determine the roots?
The polynomial equation is given as:
[tex]x^4 + x^2 = 4x^3 - 12x + 12[/tex]
Next, we split the equation as follows:
[tex]y = x^4 + x^2[/tex]
[tex]y= 4x^3 - 12x + 12[/tex]
Next, we plot the equations on a graphing calculator
From the graph, we have the x-coordinates of the intersection points to be:
x = -1.73, 1.73 and 0
Hence, the roots of the polynomial equation are -1.73, 1.73 and 0
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