Answer:
x² - x + 4
Step-by-step explanation:
Algebra tile configuration involve the use of tiles to represent algebra problem in polynomial form.
Given that:
There are 3 large tiles. Two of the large tiles are labeled plus x squared and 1 is labeled negative x square. Therefore the large tiles is given by:
2(x²) + (-x²) = 2x² - x² = x²
5 tiles are each half the size of a large tile with Two labeled + x and 3 are labeled - x. The algebra of the small tiles is:
2(+x) + 3(-x) = 2x - 3x = -x
8 tiles are each one-quarter the size of a large tile, Six of the smallest tiles are labeled +1 and 2 are labeled -1. The algebra of the smallest tiles is:
6(+1) + 2(-1) = 6 - 2 = 4
Therefore the polynomial is given by:
x² + (-x) + (4) = x² - x + 4
