which polynomial is represented by the algebra tiles?\n$x^{2}-x - 4$\n$x^{2}-x + 4$\n$3x^{2}-5x +…

Explanation:

Step1: Count $x^{2}$ - tiles

There are 2 positive $x^{2}$ - tiles and 1 negative $x^{2}$ - tile. So the coefficient of $x^{2}$ is $2+( - 1)=1$.

Step2: Count $x$ - tiles

There are 3 negative $x$ - tiles and 2 positive $x$ - tiles. So the coefficient of $x$ is $-3 + 2=-1$.

Step3: Count unit - tiles

There are 4 positive unit - tiles and 0 negative unit - tiles. So the constant term is 4.

Answer:

$x^{2}-x + 4$