5.1 Exercises

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

a) [latex](2x-1)(x+4)[/latex]

b) [latex](1-3x)(3+x)[/latex]

c) [latex](2+x)(3-x)[/latex]

d) [latex](2x+3)(3x-1)[/latex]

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

a) [latex]x^{2}-5x+6[/latex]

b) [latex]3+2x-x^{2}[/latex]

c) [latex]2x^{2}+13x+6[/latex]

d) [latex]2x^{2}+x-3[/latex]