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winterWisteria
I believe the answer is C.
A polynomial cannot contain a negative number raised to the power (eliminating A. and D.) and a polynomial cannot contain any division by a variable (eliminating B.)
C. is what I would consider a polynomial. It contains one term, and does not break any rules.

Answer:

Option B. is the polynomial.

Step-by-step explanation:

In this question we will simplify every option given

(A)  9x⁷y⁻³z = [tex]\frac{9x^{7}z }{y^3}[/tex] It is a monomial.

(B) 4x³-2x²+5x-6+1/x  This expression has 5 terms so it's a polynomial.

(C) -13 one term means monomial.

(D) 13⁻² = [tex]\frac{1}{13^2}[/tex] one term means monomial.

Therefore, Option B. is the polynomial.