Unit 4 Target 2: Greatest Common Factoring

Factor Completely:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor Completely:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Factor Completely:

8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

Factor Completely:

24c⁵ - 12c³

• 6(4c⁵ - 2c³)

• 12c³(2c²)

• 12c³(2c² - 1)

• 12c³(2c² - 0)

Factor Completely:

16x² + 18x + 12

• 4(4x² + 6x + 3)

• 2(8x² + 9x + 6)

• 2x(8x + 9 + 3)

• x(16x + 18 + 12)

Factor Completely:

w⁵ - w³

• w³(w² - 1)

• w(w⁴ - w²)

• w³(w² - w)

• w²(w³ - w)

Factor Completely:

5k³ + 7k² + k

• 5k(k² +2k + 1)

• 7k(5k² +k + 1)

• k(5k² + 7k + 1)

• 5k³ + 7k² + k

Factor Completely:

27x²y⁵-72x³y²

• 9x²(3y³-8x)

• 9x²y²(8y³-3x)

• 3x²y²(3y³-8x)

• 9x²y²(3y³-8x)

Factor Completely:

-3a²b + 6a³+b²

• 4a²b(-1 + 2ab)

• 3a²b(-1 + 2b)

• 3a²b(-1 + 2ab)

• 3a²b(1 + 2ab)

Factor Completely:

5x² - 5x³ - 15x⁴

• -5x²(1 + x + 3x²)

• -5x²( x + 3x²)

• -3x²(1 + x + 3x²)

• -5x²(1 + 2x + 3x²)