Factoring Polynomials AC Method and Grouping

factor completely 
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Factor the polynomial completely (GCF & grouping).

• A

• B

• C

• D

Factor the sum of cubes. 27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Factor the difference of squares. 9x⁴ − 64

• (3x² − 8)(3x² + 8)

• (3x² − 4)(3x² + 4)

• (3x² − 8)²

• (3x² − 4)²

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

• x⁴(x² - 5x - 24)

• (x - 8)(x + 3)

• x⁴(x - 8)(x + 3)

• (x³ - 8)(x³ +3)

Factor Completely.

4xz - 4yz - x + y

• (x + y)(4z - 1)

• (x - y)(4z - 1)

• (x +y)(4z - 1)

• Prime

Factor completely.

4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor completely.

x² - 30x + 225

• (x + 15)²

• (x - 15)²

• (x + 25)²

• (x - 25)²

Factor completely.

9x² - 30x + 25

• (3x + 5)²

• (3x - 5)²

• (3x - 6)²

• (3x + 6)²