Factoring: Grouping, GCF, DOTS & Easy Trinomials

Factor by Grouping:
x³ - 5x² + 5x - 25

• (x² - 5) (x - 5)
• (x² + 5) (x - 5)
• (x² + 5) (x + 5)
• (x² - 1) (x - 25)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping:
x³ + 7x² - 2x - 14

• (x² - 2) (x - 7)
• (x² + 2) (x - 7)
• (x² + 2) (x + 7)
• (x² - 2) (x + 7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4)(x² -4) 
• (x+4)(x² -4)
• (x-4)(x-2)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by Grouping:
4p³ + 8p² + 3p + 6

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor (GCF)
10x² + 15x - 5

• 25 (10x³ + 45x -15)
• 5 (2x³ + 3x² - x)
• x (10x³ + 15x - 5)
• 5 (2x² + 3x - 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor (GCF)
 2n² - 8n³

• 2n² (n - 4n²)
• 2n² (1 - 4n)
• 2n³ (10 - 8n²)
• 3n (1 - 4n)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor (DOTS)
x² - 36

• (x + 6) (x - 6)
• (x + 6)²
• (x² - 6) (x² + 6)
• (x + 9) (x - 4)

Factor (DOTS)
4x² - 9

• (2x + 3) (2x - 3)
• (2x + 3) (2x + 3)
• (2x - 3) (2x - 3)
• (2x - 3)²

Factor (Easy Trinomial)
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor (Easy Trinomial)
c² - 3c + 2

• (c - 3)(c + 1)
• (c + 2)(c + 1)
• (c + 3)(c -1)
• (c - 1)(c - 2)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3