a polynomial is factored using algebra tiles. which polynomial was factored? $x^{2}-2x - 8$ $x^{2}+2x - 8$…

a polynomial is factored using algebra tiles. which polynomial was factored? $x^{2}-2x - 8$ $x^{2}+2x - 8$ $x^{2}-2x - 4$ $x^{2}+2x - 4$

a polynomial is factored using algebra tiles. which polynomial was factored? $x^{2}-2x - 8$ $x^{2}+2x - 8$ $x^{2}-2x - 4$ $x^{2}+2x - 4$

Answer

Explanation:

Step1: Count the tiles

We have 1 positive $x^{2}$ - tile, 2 positive $x$ - tiles, 4 negative $x$ - tiles and 8 negative unit - tiles.

Step2: Combine like - terms

The $x$ - terms: $2x+( - 4x)=2x - 4x=-2x$. The polynomial is $x^{2}-2x - 8$.

Answer:

$x^{2}-2x - 8$