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]
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