It can be. But it can also be trigonometric in parametric form. For example, a circle with centre (p,q) are radius r can also be defined by
x = r*cos(x) and y = r*sin(x) where 0 <= X < 2pi radians [or 0<= x < 180 degrees]..
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yes
The highest power in the equation.
No. A polynomial can have as many degrees as you like.
The "roots" of a polynomial are the solutions of the equation polynomial = 0. That is, any value which you can replace for "x", to make the polynomial equal to zero.
Yes