Math A Factoring with Algebra Tiles

See Homemade Algebra Tiles
for the template for making tiles for your students to use in class.

Key:

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.
Consequently,  2x² + 5x + 3 = (2x + 3)(x + 1).