Question

Identify the two factors that were multiplied together to form the array of tiles. Then identify the product of the two factors. Use the variable x in your expressions.

Answer 1

`Terms: 3\ and\ x + 2`

`Product = 3x + 6`

Explanation:

See attachment for complete question.

From the attachment, there are 3 columns and 3 rows

The 3 columns represent the first factor

To get the second factor, we have to analyze the 3 rows in the attachment.

Notice that the first row is bigger than the other two rows.

This big row will be represented with variable x

Notice that the boxes in second row are smaller than the first row and the + sign is written on each of the boxes.

This is represented with + 1

Also, notice that the boxes in third row are smaller than the first row and the + sign is written on each of the boxes.

This is also represented with + 1

Hence, the expression for the rows is x + 1 + 1 = x + 2

The product is then calculated as:

`Product = 3 * (x + 2)`

`Product = 3 * x + 3*2`

`Product = 3x + 6`