There are 5 tiles of [tex] x^{2} [/tex], 2 tiles of x and 5 tiles of 1.
The similar tiles can be added up and represented as a single term. So 5 tiles of [tex] x^{2} [/tex] can be written as [tex] 5x^{2} [/tex]. 2 tiles of x can be written as 2x and 5 tiles of 1 can be written as 5.
The overall polynomial will be the summation of all these tiles. So the resulting polynomial will be [tex] 5x^{2}+2x+5 [/tex].
Thus the answer to this question is option C.
