Factoring Using Algebra Tiles

Based on the algebra tiles shown,

identify the factors of this polynomial

x² − 3x + 2

• (x+2)(x−3)

• (x−1)(x−2)

• (x+1)(x+2)

• (x+1)(x−2)

• (x−1)(-2x+2)

Based on the algebra tiles shown,

which expression represents the unfactored polynomial in standard form?

• 2x + 8

• 4x

• 8x + 1

• -2x + 8

• 2x + 4

Based on the algebra tiles shown,

identify the side of the diagram that represents the factor

(x−1)

• top

• left

• bottom right

Based on the algebra tiles shown,

identify the side of the diagram that represents the factor

(x+4)

• top

• left

• bottom right

In this diagram of algebra tiles, the polynomial x² − 5x + 6 is shown.

Factor x² − 5x + 6

• (x+2)(x+3)

• (x−2)(x−3)

• (x−2)(x−6)

• (x−1)(x−3)

• (x+6)(2x−3)

What polynomial is represented by the algebra tiles in this diagram?

• 2x² + 7x + 3

• x² + 2x + 3

• 2x² + 7x − 3

• 2x² − 7x + 3

• x² + x − 3

What polynomial is represented by the algebra tiles in this diagram?

• 2x² + 7x + 6

• x² + 7x + 6

• 2x² + 4x + 6

• 3x² + 6x + 7

• x² + 3x − 6

After cancelling positives with negatives, what is left?

• -2
• 2
• 4
• -4

• 3x 

• 3

• 3x² 

• 12x³

• 12x²

• There is no GCF; this polynomial is prime