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

For ed2020

Answer: (3x – 1) and (x + 4)

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

Explanation:

Answer 2

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)`

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.