Asked by maxx

The model represents the factorization of 2x2+5x+3.

An algebra tile configuration. 4 tiles are in the Factor 1 spot: 2 +x tiles, 2 + tiles. 2 tiles are in the Factor 2 spot.: 1 +x tile, 1 + tile. 10 tiles are in the Product spot in 4 columns with 2 rows. First row: 2 + x squared tiles, 3 + x tiles. Second row: 2 + x tiles, 3 + tiles.

What are the factors of the polynomial?

(2x+3)(x+1)
(2x−3)(x−1)
(3x+2)(x+1)
(3x−2)(x−1)

All Answers 1

Answered by GPT-5 mini AI
(2x+3)(x+1)

Reason: the area model shows 2x^2 (from 2x·x), 3 (from 3·1), and cross terms 3x and 2x, giving 2x^2 + 5x + 3. Expanding (2x+3)(x+1) = 2x^2 + 5x + 3.