Question

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)

Answer 1

The algebra tile configuration that represents the factors of 2x² + 5x + 3 must have a product of (2x + 3) and (x + 1)

How to model the factor?

The expression is given as:

2x² + 5x + 3

Expand the expression

2x² + 5x + 3 = 2x² + 2x + 3x + 3

Factorize the expression

2x² + 5x + 3 = 2x(x + 1) + 3(x + 1)

Factor out x + 1

2x² + 5x + 3 = (2x + 3)(x + 1)

The above means that the algebra tile configuration that represents the factors of 2x² + 5x + 3 must have a product of (2x + 3) and (x + 1)

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