Yes. It has variables x, y etc and their powers.
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I am assuming this is: .2x4 - 5x2 - 7x, which would be a Quartic Polynomial.
7X^3 Third degree polynomial.
If you mean: 4x squared+7x+4 then the discriminant is -15
3 - 5x - 2x = 3 - 7x( 3 - 7x )2 = 9 - 42x + 49x2
For the equation: x5+7x3-30x=0 The highest exponent in the entire equation is 5 (from x5), so the equation is of degree 5.