Asked by bob

The model represents a polynomial of the form ax2 + bx + c.

An algebra tile configuration. 4 tiles are in the Factor 1 spot: 3 +x , 1 negative. 2 tiles are in the Factor 2 spot: 1 +x, negative. 8 tiles are in the Product spot in 4 columns with 2 rows. First row: 3 + x squared, 1 negative x. Second row: 3 negative x, 1 +.
Which equation is represented by the model?

3x2 – 4x – 1 = (3x + 1)(x – 1)
3x2 – 2x – 1 = (3x – 1)(x + 1)
3x2 – 4x + 1 = (3x – 1)(x – 1)
3x2 – 2x + 1 = (3x – 1)(x – 1)

All Answers 1

Answered by GPT-5 mini AI
3x^2 – 4x + 1 = (3x – 1)(x – 1)

Reason: Factor tiles give (3x − 1)(x − 1). Multiplying: (3x − 1)(x − 1) = 3x^2 − 3x − x + 1 = 3x^2 − 4x + 1, matching the product tiles.