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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).

Respuesta :

The model represents a polynomial of the form [tex]\rm ax^2+bx+c[/tex] The equation is represented by the model[tex]=\rm 3x^{2} - 4x + 1 = (3x - 1)(x - 1)[/tex].

Given:  

  • 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

According to the statements given,

[tex]=\rm 3x^{2} - 4x + 1 = (3x - 1)(x - 1)[/tex]

Lets Understand this with its sign how to interprete the tile set up.

      [tex]\rm x \;x\;x\;-x\;\;\;-1\\x\;\;x^{2} \;\;x^{2} \;\;x^{2} \;\ -x\\-1\;\;-x\;\;-x\;\;-x\;\;+1[/tex]

Now, we will count the factors , we cwn see that there are three [tex]\rm x^{2}[/tex], there are four [tex]\rm -x[/tex] and only one [tex]+1[/tex]

Therefore, The model represents a polynomial of the form [tex]\rm ax^2+bx+c[/tex] The equation is represented by the model[tex]=\rm 3x^{2} - 4x + 1 = (3x - 1)(x - 1)[/tex]

Learn more about Quadratic Equations here :https://brainly.com/question/15778885

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