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Using this fact, you can show that x2
+ 5x + 6 = (x + 3)(x + 2) because (see the figure). Use your tiles and arrange each of the areas below into a rectangle
as shown in AP–2, AP–3, and the example shown in the figure. Make a
drawing to represent each equation. Label each part to show why the
following equations are true. Write the area equation below each of your
drawings.
Problem and Solving
- a) x2 + 7x + 6 = (x + 6)(x + 1)
- b) x2 + 4x + 4 = (x + 2)(x + 2)
- c) x2 + 3x + 2 = (x + 2)(x + 1)
- d) 2x2 + 5x + 3 = (2x + 3)(x + 1)
