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 = (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)

Answer 1

Answer:  The equation modeled is

3x2 – 4x + 1 = (3x – 1)(x – 1) . Much easier to understand with the symbols:

$3x^{2} -4x +1$ = $(3x-1)(3x-1)$

Step-by-step explanation:

    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.

Answer 2

Answer:

For ed2020

Answer: (3x – 1) and (x + 4)

For me that was the (second option) but it could be different for you...

Step-by-step explanation: