Factoring Algebraic Expressions (A1.1.1.5.2)

Factor:

x² + 9x + 20

• (x + 1) (x + 20)

• (x + 2) (x + 10)

• (x + 4) (x + 5)

• (x + 10) (x + 10)

Factor:

x² - 21x + 110

• (x - 10) (x - 11)

• (x - 10) (x - 12)

• (x - 7) (x - 3)

• (x - 50) (x - 60)

Factor:

4x² + 36x + 81

• ( 4x + 81 )²

• ( 2x + 9 )²

• Prime /
  Not factorable. 
• ( 2x - 9 )²

Factor:

15x⁴ + 20x³ - 25x

• 5x² (3x² + 4x - 5)

• 5x (3x³ + 4x² - 5x)

• 5x (3x³ + 4x² - 5)

• 5 (3x⁴ + 4x³ - 5x)

Factor:

24x² + 30x

• 6 (4x² + 5)

• 6x (4x + 5)

• 2 (12x² + 15)

• 2x (12x + 15)

The area of a garden is given by the trinomial x² + 14x + 48. One of the sides of the garden measures (x + 6) inches. What is the dimension of the other side?

• (x + 6)

• (x + 7)

• (x + 8)

• (x + 9)

The area of a rectangular driveway is 2x² + 15x + 25. What are the possible dimensions of the driveway?

• (x + 1) (2x + 5)

• (x + 5) (2x + 5)

• (x + 10) (2x + 5)

• (2x + 10) (2x + 5)

Factor:

5x² + 20x

• 5 (x + 4)

• 5x (x + 4)

• 5 (x² + 4)

• 5x² (x + 4)

Factor:

16x² - 81y²

• (4x - 9y)²

• (9x - 4y)(9x + 4y)

• (4x - 9y)(4x + 9y)

• (2x - 3y)(2x + 9y)

Factor:

x⁵ + x⁴ + x²

• x³ (x² + x + 1)

• x (x⁴ + x³ + x)

• x² (x³ + x²)

• x² (x³ + x² + 1)