Respuesta :
In polynomial equation While addition or subtraction of the polynomials, the terms of the same power should be add or subtract from each other. The polynomial which represent the algebra tile configuration in the given problem is,
[tex]f(x)=4x^2+5x-11[/tex]
Given-
The given expression in the problem is,
[tex]f(x)=x^2+3x+ 4x^2+3x -4x -x^2 - 7 -x^2+ 3x - 4[/tex]
Rewrite the equation in the order of the power of x,
[tex]f(x)=x^2+ 4x^2 -x^2+3x+3x -4x+ 3x - 7 - 4[/tex]
Addition subtraction of polynomials
While addition or subtraction of the polynomials, the terms of the same power should be add or subtract from each other.
Add or subtract the same power variable in the above equation. We get,
[tex]f(x)=(x^2+ 4x^2 -x^2)+(3x+3x -4x+ 3x)+( - 7 - 4)[/tex]
[tex]f(x)=(4x^2)+(5x)+( -11)[/tex]
[tex]f(x)=4x^2+5x-11[/tex]
Hence the polynomial which represent the algebra tile configuration in the given problem is,
[tex]f(x)=4x^2+5x-11[/tex]
Learn more about the polynomial equation here;
https://brainly.in/question/227409
