An algebra tile configuration where the 2 largest tiles are labeled plus x squared, there are 4 tiles labeled negative x, where each tile is half the size of the largest tiles, and 6 tiles labeled minus that are each one-quarter the size of the largest tile. Which polynomial is represented by the algebra tiles? 2x2 - 4x - 6 2x2 + 4x + 6 - 2x2 - 4x - 6 - 2x2 + 4x + 6

The polynomial is 2x² - 4x - 6 ⇒ 1st answer

The polynomial is 2x² - 4x - 6 ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Algebra tiles are used to model integers and variables to aid in

learning how to write polynomials

- There are two largest tiles labeled plus x squared

- That means we have two x²

∴ There are 2x²

- There are 4 tiles labeled negative x, where each tile is half the size

of the largest tiles

- That means we have 4 negative x

∴ There are 4 * - x = - 4x

- There are 6 tiles labeled minus that are each one-quarter the size

of the largest tile

- That means we have 6 negative signs (6 - ones)

∴ There are 6 * - ones = - 6

∴ The polynomial = 2x² + (-4x) + (-6)

- Remember: (+) (-) = (-)

∴ The polynomial = 2x² - 4x - 6

* The polynomial is 2x² - 4x - 6