Factoring Polynomials by Grouping

What is the factored form of 2a³-2a²

• 2a²(a)

• 2a(2a²-a)

• 2a²(a-1)

• 2a²(a+1)

What is the factored form of 6d⁴+9d³-12d²

• 3d²(2d²+3d-4)

• 3d²(3d²+6d-9)

• 3d²(d³+3d²-4)

• 6d²(d²+3d³-6)

What is the GCF of 8c³+12c²+10c

• 2

• 4

• 2c

• 4c

What is the factored form of 35x² + 5x + 56x + 8

• (5x + 8)(7x + 1)

• (5x + 7)(x + 1)

• (5x² + 8)(7x + 1)

• 5x (7x² + x + 7x + 1)

x³ + 4x² + 4x + 16

• (x+4)(x+2)

• (x² + 4)(x + 4)

• (x+4)(x² -4)

• (x-4)(x-2)

Factor:

4p² + 8p + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p+3)(p+2)

• (4p²+8p)(3p+6)

Factor: 4b³ + b² + 8b + 2

• (b + 2)(4b + 1)

• (b² + 2)(4b + 1)

• (b + 2)(b + 1)

• (b³ + 2)(4b + 1)

Which is a factor of 12r² + 20r + 15r + 25? (hint: there's more than one answer!)

• 3r + 5

• r + 5

• 4r + 5

• 4r² + 5

Factor: 70n⁴ + 40n³ + 28n² + 16n

• (10n + 4)(7n + 4)

• 2n (35n³ + 20n² + 14n + 8)

• (10n³+ 4n)(7n + 4)

• (2n³+ 4n)(7n + 4)

Factor: 30x²+15x + 18x + 9

• (5x² - 3)(6x + 1)

• (5x + 9)(2x + 1)

• 3(5x²+3)(2x-1)

• (15x + 9)(2x + 1)