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

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

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

Answer

Explanation:

Step 1: Count algebraic tiles for each term

The large square represents (x^2), there are 1 positive (x^2) tile.
The rectangular tiles represent (x): 2 positive (+x) tiles and 4 negative (-x) tiles, totaling (2x - 4x = -2x).
The small squares represent constants: 8 negative (-1) tiles, totaling (-8).

Step 2: Combine terms into a polynomial

Combine the counted terms: (x^2 - 2x - 8).

Answer:

(x^2 - 2x - 8)