Answer:
The polynomial is 2x² - 4x - 6 ⇒ 1st answer
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- 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)
- <u><em>Remember:</em></u> (+)(-) = (-)
∴ The polynomial = 2x² - 4x - 6
* The polynomial is 2x² - 4x - 6