Because it has no equality sign the given terms are that of an algebraic expression.
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x^5+2x^4+4x^2+2x-3
The x^5 at the beginning makes the degree of the polynomial 5.
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Yes. Before using the polynomial for any productive purpose, it would have to be cleaned up and simplified. In that process, the +3x4 and -3x4 would go away, and the highest-order term remaining would be the 4x3.
f(x) = 3x4 - 2x2 + 7f ' (x) = 12x3 - 4xf ' ' (x) = 36x2 - 4