Which model shows the correct factorization of x squared plus 2 x minus 8 ?
Answer
A
Image with description An algebra tile layout with 4 rows and 6 columns inside a bordered grid. Along the top row are one blank cell on the left followed by one tile labeled positive x, and four tiles each labeled with a minus sign. Along the left column are one blank cell at the top, then two tiles each labeled positive x, then two tiles each labeled with a plus sign. In the interior grid, the first interior row contains one tile labeled positive x squared, followed by one tile labeled positive x, one tile labeled positive x, one tile labeled positive x, and one tile labeled negative x squared. The second interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign. The third interior row contains one tile labeled positive x, followed by four tiles each labeled with a minus sign.
B
Image with description An algebra tile layout with 4 rows and 6 columns inside a bordered grid. Along the top row are one blank cell on the left followed by one tile labeled positive x, and four tiles each labeled with a plus sign. Along the left column are one blank cell at the top, then two tiles each labeled positive x, then two tiles each labeled with a minus sign. In the interior grid, the first interior row contains one tile labeled positive x squared, followed by one tile labeled positive x, one tile labeled positive x, one tile labeled positive x, and one tile labeled positive x. The second interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign. The third interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign.
C
Image with description An algebra tile layout with 4 rows and 6 columns inside a bordered grid. Along the top row are one blank cell on the left followed by one tile labeled positive x, and four tiles each labeled with a minus sign. Along the left column are one blank cell at the top, then two tiles each labeled positive x, then two tiles each labeled with a plus sign. In the interior grid, the first interior row contains one tile labeled positive x squared, followed by one tile labeled positive x, one tile labeled positive x, one tile labeled positive x, and one tile labeled negative x squared. The second interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign. The third interior row contains one tile labeled positive x, followed by four tiles each labeled with a minus sign.
D
Image with description An algebra tile layout with 4 rows and 6 columns inside a bordered grid. Along the top row are one blank cell on the left followed by one tile labeled positive x, and four tiles each labeled with a minus sign. Along the left column are one blank cell at the top, then two tiles each labeled positive x, then two tiles each labeled with a plus sign. In the interior grid, the first interior row contains one tile labeled positive x squared, followed by one tile labeled positive x, one tile labeled positive x, one tile labeled positive x, and one tile labeled positive x. The second interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign. The third interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign.