Question

Adi used algebra tiles to represent the product (negative 2 x minus 1)(2 x minus 1). An algebra tile configuration. 4 tiles are in the Factor 1 spot: 2 are labeled negative x and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 2 are labeled + x and 1 is labeled negative. 12 tiles are in the Product spot: 4 are labeled negative x squared, 4 are labeled negative x, 2 are labeled + x, and 2 are labeled +. Which is true regarding Adi’s use of algebra tiles?A) She used the algebra tiles correctly. B) She did not represent the two original factors correctly on the headers. C) The signs on some of the products are incorrect. D) Some of the products do not show the correct powers of x.

Answer 1

Answer:

Step-by-step explanation:

c

Answer 2

Answer:

Option D) The signs on some of the products are incorrect.

Step-by-step explanation:

Let's gather the data:

The product involves two numbers: $(-2x-1)$ and $(2x-1)$

Multiplying the two numbers gives:

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

Let's analyse the product:

The coefficient of x = -4 (negative 4)

1 carries a positive sign (+1)

Therefore, incorrect signs were assigned to the numbers.

Hence option D is the correct answer.