A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is <em>n.</em>
The polynomial equation for the given algebra tile is,

Hence the option 4 is the correct option.
<h3>What is polynomial equation?</h3>
A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is <em>n.</em>
Here, <em>n</em> is any real number.
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Given information-
The largest tile is labeled negative x squared.
Total 3 tiles are labeled plus x, in which, each tile is half the size of the largest tile.
Total 4 tiles labeled minus that are one-quarter the size of the largest tile.
As the largest tile is labeled negative x squared, therefore the size of largest tile is
.
The total 3 tiles are labeled plus x, in which, each tile is half the size of the largest tile and there is total 4 tiles labeled minus that are one-quarter the size of the largest tile.
The image shown below for the algebra tile.
Thus the polynomial equation for the given algebra tile is,

Hence the option 4 is the correct option.
Learn more about the polynomial equation here;
brainly.com/question/2833285