Respuesta :
The polynomial which shows algebra tile configuration is [tex]\rm -x^2 + 3x - 4[/tex].
We have to determine
Which polynomial represents the algebra tile configuration shown?
According to the question
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]\rm -x^2 + 3x - 4[/tex]
In the given tiles,
2 tiles for = [tex]\rm -x^2[/tex]
3 tiles for = x
4 tiles for = -4
Now, putting the like terms together, the equation becomes:
[tex]\rm (x^2+-2x^2) + 3(x+ x+ x ) -(1+1+1+ 1)[/tex]
The like terms can be added such that:
[tex]\rm -x^2 + 3x - 4[/tex]
Hence, the polynomial which shows algebra tile configuration is [tex]\rm -x^2 + 3x - 4[/tex].
To know more about Polynomial click the link given below.
https://brainly.com/question/26080405
