Question

Please help me understand

Answer 1

Answer:

  (x +2)(2x +1)

Step-by-step explanation:

The factors are the set of tiles down the left side: x + 1 + 1 = (x +2), and the set of tiles across the top: x + x + 1 = (2x +1)

Your factored form is shown in choice D:

  (x +2)(2x +1)

_____

Additional comment

The point of this sort of diagram is to show you how the factors work together to give you the product. Each tile in the middle of the figure represents the product of the tile on the top line and the tile in the left column.

The product of x and x is x².

The product of 1 and x is x.

The product of 1 and 1 is 1.

The product of the two factors is the sum of all the tiles in the middle of the diagram: 2x² +5x +2.