Question

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

Answer 1

The equation modeled is  $3x^{2} -4x+1=(3x-1) (3x-1)$

The given equation Much easier to understand with the symbol                   $3x^{2} -4x+1=(3x-1) (3x-1)$

x   x  .x  -1  

x   x² x² x² -x

-1  -x -x- x  +1

That is how I interpreted the "tile" set up.

Now count up the factors:  

There are 3 x² . There are 4 -x and  a  +1

That's the third answer choice.

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