Option 2: [tex]2x^3 - x^2[/tex] is a trinomial.
Given algebraic expressions:
[tex]x^3 + x^2 - \sqrt{1},\\ 2x^3 - x^2 ,\\ 4x^3 + x^2 - \dfrac{1}{x},\\ x^6 - x +\sqrt{6}[/tex]
The definition of polynomial needs integer exponents of variable and integer coefficients of variable.
Thus by definition, option 1, option 4 are not polynomials.
Option 3rd is actually having degree 4 due to 1/x and thus not a trinomial.
Option 2nd completes all the needs of being trinomial as it has degree 3 and its a polynomial.
Thus Option 2: [tex]2x^3 - x^2[/tex] is a trinomial.
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