Factoring Generic Rectangles and Diamond Problems

Using the diagram above, write area as a product and a sum:

• Product:(x + 2)(x + 5)

• Sum: x² + 7x + 10

• Product: (x + 7)(x +3)

• Sum: 3x² + 3x + 9

• 3x² + 4x + 4

• 2x² - 5x - 3

• 3x² - 3x + 4

Find x.

• 7

• 3

• 10

• -3

Find x.

• 3

• 2

• -2

• 1

Find y.

• 4

• 5

• -4

• -2

Find y.

• 66

• -5

• -66

• 5

Find y. 

• -4

• -3

• 7

• 2

Find x.

• 5

• -5

• 66

• -66

Fill in the missing numbers. (order doesn't matter)

• -12,-6

• 6,12

• 8,9

• 9,54

Fill in the missing numbers. 

• top:18, bottom:9

• top:3, bottom:9

• top:9, bottom:9

• top:3, bottom:18