Factoring Area Models

The area of a rectangular pool is (15x – 9) square units. What are the dimensions of the pool?

• 5(3x - 3)

• 3(5x - 3)

• 3(14x)

• 3(15x)

Multiply binomials using box method(area model) and write the area as a sum.

• 6x^{2 +} 11x -35

• 5x² + 31x - 12

• 6x + 11x - 35

• 5x + 10x +35

Factor (that is, write the area as a product)

p² − 5p − 14

• ( p + 2)( p + 7)

• ( p + 2)( p − 7)

• ( p - 2)( p − 7)

• ( p - 2)( p + 7)

Factor: (that is, write the area as a product)

x² − 7x − 18

• (x − 9)(x + 2)

• (x + 9)(x + 2)

• (x − 9)(x - 2)

• (x − 9)(x - 2)

State the GCF to be factored from the second column.

• -3

• 2x

• 3x

• 3

Fill in the missing spaces Using the answer choices provided.

• 4x

• 5x²

• 4x²

• 3x

Fill in the missing part of the area model.

• 32x

• 12x

• 32x²

• 4x

Fill in the missing part of the area model.

• -5x

• 5x

• -5x²

• -4x

Fill in the missing part of the area model.

• 13

• -40

• 3

• 40

State the GCF to factored from the first column.

• x

• 2x

• 2

• -8x