5.1 Exercises

1) Use algebra tiles to model the following products. Sketch the corresponding rectangles and label them appropriately.

a) $(2 x - 1) (x + 4)$

b) $(1 - 3 x) (3 + x)$

c) $(2 + x) (3 - x)$

d) $(2 x + 3) (3 x - 1)$

2) Use algebra tiles to factor the following quadratics. Sketch and label the corresponding rectangles.

a) $x^{2} - 5 x + 6$

b) $3 + 2 x - x^{2}$

c) $2 x^{2} + 13 x + 6$

d) $2 x^{2} + x - 3$

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