sol.

    A polynomial of degree nis a function of the form

          f(x) = anxn + an  1xn  1 + … + a2x2 + a1x + a0

     where each coefficient ak is a real number, an ≠ 0, and n is a non-negative integer. The leading coefficient is an and the degree is n.

here as given in the question R(x) = 7x^2 -7x + 1/x

     since a polynomial function cant have x with negative exponent hence the above given function is not a polynomial function due to the presence of 1/x term