Quartic polynomial roots using symbolic solutions

Move the points[color=#1e84cc] [b]P1[/b][/color], [color=#1e84cc][b]P2[/b][/color], [color=#1e84cc][b]P3[/b][/color], [color=#1e84cc][b]P4[/b][/color], [color=#1e84cc][b]P5[/b][/color] to get a new [b]Quartic[/b] polynomial and find its roots.

Information: Quartic polynomial roots using symbolic solutions