Question

The partial factorization of x2 – x – 12 is modeled with algebra tiles. An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x, 3 are labeled +. 1 tile is in the Factor 2 spot and is labeled + x. 20 tiles are in the Product spot: 1 is labeled + x squared, 3 are labeled + x, the 4 tiles below + x squared are labeled negative x, and the 12 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization? 3 negative unit tiles 3 positive unit tiles 4 negative unit tiles 4 positive unit tiles

Answer 1

4 negative tiles

Explanation:

Answer 2

Explanation:

Given that

x² - x - 12

Let factorize this first

Check attachment for simplification

x² - 4x + 3x - 12

x(x - 4) + 3(x-4)

(x + 3)(x - 4)

So, 4 negative unit tiles are need