Polynomials are defined as the sums of terms that are represented in the form of k-xⁿ, where k is any number and n is a positive integer.
The polynomial represented by algebra tiles is [tex]2x^2 - 4x - 6[/tex].
In the given tiles,
2 tiles for = [tex]x^2[/tex]
4 tiles for = -x
6 tiles for = - 1
Now, putting the like terms together, equation becomes:
[tex](x^2 + x^2) + (-x-x-x-x) + (-1-1-1-1-1-1)[/tex]
The like terms can be added such that:
[tex](2x^2) + (-4x)+ (-6)\\2x^2 -4x -6\\[/tex]
Thus, the correct answer is Option A.
To know more about polynomial, refer to the following link:
https://brainly.com/question/17822016
