Factor 2x2 + 5x + 3
Using algebra tiles, build a rectangle containing the tiles specified in this problem (2 x2-tiles, 5 x-tiles and 3 1-tiles). Remember that the lines between the tiles within your pattern must be completely vertical or horizontal across the entire pattern. Here is one possible arrangement:
After the pattern is
established, it can be seen that the top edge of the pattern (the length)
is composed of tiles with dimensions 2x + 3. The side edge of the
pattern (the width) is composed of tiles with dimensions x + 1.
Also see How to Use Algebra Tiles.