Factoring Generic Rectangles

Using the diagram above write the area as a product and as a sum.

• Product: (x + 1)(x + 3)

• Product (x² + x)(x + 1)

• Sum: x² + 4x + 3

• Sum: x³ + 1x +4x +1

Using the diagram find the area as a product and a sum

• product: (x + 3)(x + 2)

• sum: x² + 4x + 6

• product: (x² + 5x)(x + 6)

• sum: 6x² + 3x + 1

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

Fill in the missing portion of the generic rectangle shown in red:

Factorize and choose the correct answer
a2 + bc + ab + ac

• (a+c) (b+c)

• a (a+b+c)

• (a+b) (b+c)

• (a+b)  (a+c)

The area of a rectangle is   
(x² + 17x+42) ft².
If its width is (x + 3) ft.
What is its length?

• (x + 17) ft

• (x + 14) ft

• (x - 14) ft

• (x - 17) ft

20x³-25x²+4x-5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

(x + 5)(x + 4)

• x² + x + 20

• x² + 20x + 9

• x² + 9x + 20

• x² - 9x + 54

(5c-2)(3c²-5c+4)

• 15c³-31c⁴+30c²-8

• 15c³-19c²+10c-8

• 15c³-31c²+30c-8

• 15c³-31c²+30c+8