Algebra 2 Spring Exam - Extra Practice

Factor completely.
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Factor completely: x²-13x+40

• (x-5)(x-8)
• (x+5)(x+8)
• (x-4)(x-10)
• (x-2)(x-20)

Factor:

2x² + 3x - 9

• 2(x + 3)(x - 3)

• (2x - 3)²

• (x + 3)(2x - 3)

• (2x + 3)(x - 3)

Factor completely.
5x² - 7x + 2

• 5(x - 2)(x + 1)
• (5x - 2)(x + 1)
• (7x - 1)(x - 4)
• (5x - 2)(x - 1)

4a² - 25

• (2a + 5) (2a - 5)
• (2a - 5) (2a - 5)
• (x + 5) (x - 5)
• Can't factor using Diff. of Squares

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

Factor:
x³ + 27

• (x + 3) (x² - 3x + 9)
• (x - 3) (x² + 3x + 9)
• (x + 3)(x + 9)
• Prime
  (can't be factored)

Factor n³-27

• (n-3)(n²+9)

• (n+3)(n²-9)

• (n+3)(n²-3x+9)

• (n-3)(n²+3x+9)

Use the picture to find the vertex and axis of symmetry:

• Vertex (3,8) Axis x = 3

• Vertex (3,8) Axis y = 3

• Vertex (8,3) Axis x = 3

• Vertex (8,3) Axis y = 3