Drag the expressions into the boxes to correctly complete the table. i; m really confused about where should i put it and
and is the second picture correct or not?

A polynomial is every function that looks like this:
f(x)=(An)*xⁿ + (An-1)*xⁿ⁻¹ ++A₁*x +A₀

So functions that are polynomials are: 

3x²-5x⁴+2x-12,
x⁵-5x⁴+4x³-3x²+2x-1,
x⁻⁵-5x⁻⁴+4x⁻³-3x⁻²-1,
x³-7x²+9x-5x⁴-20.

And functions that are NOT polynomials:

4/x⁴ + 3/x³ - 2/x² -1,
⁴√x - ³√x + ⁴√x - 8x +16.

So the second picture is correct.