8.5.1 Factoring by Grouping

What is the factored form of 5n³-10n²+3n-6

• (5n²+3)(n-2)
• (5n²-3)(n-2)
• (5n³+3)(n-2)
• 10n(n²-6)

What is the factored form of x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Simplify. Write your answer in standard form:
(3x³+9x²-2x)−(7x³-6x²+1)

• 10x³+15x²-3x
• -4x³+3x²-2x+1
• -4x³+15x²-2x-1
• -4x³+15x²-2x+1

Simplify the product.  Write the answer in standard form.
(x+2)(x-5)

• x²-3x-10
• 2x²-3
• x²-10
• x²+2x-10

Simplify the product.  Write the answer in standard form.
(y+6)(6y²+9y-8)

• 49y³
• 36y²+55y-48
• 6y³+36y²+54y-48
• 6y³+45y²+46y-48

What is the factored form of 4x²+8x+10

• 2x(2x²+4x+5)
• 2x(x²+4x+10)
• 2(2x²+4x+10)
• 2(2x²+4x+5)

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 4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)