Apolynomial is factored using algebra tiles. which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4

Solution:

Out of the four options given we will try to factorize each one of them using Splitting of middle of term that is term containing x, method:

1.

2.

3. = There will be no integral root.

4.  = There will be no integral root.

In Case 1, and Case 2, one of the root is negative.So,we can represent one root by a rectangle or square of different color,and another root by a rectangle or square of different color than first one.

So, Option (1) →x² - 2 x - 8 and Option (2)→ x²  + 2 x - 8 are two polynomials which has been factored using algebra Tiles.

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: