Factoring - GCF, Grouping, and Trinomials

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 
• Is there a GCF? 
• What strategy should I use? 
• Why do I have to learn this?!?!?!

What is the GCF?

5x² + 20x

• 5

• x

• 5x

• 20x

What is the factored form of 35x² + 5x + 56x + 8

• (5x + 8)(7x + 1)

• (5x + 7)(x + 1)

• (5x² + 8)(7x + 1)

• 5x (7x² + x + 7x + 1)

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

32m³ - 40m² + 20m - 25

• (8m² - 5)(4m - 5)

• (8m² - 5)(4m + 5)

• (4m + 5)(8m² + 5)

• (8m² + 5)(4m - 5)

Factor: 5n² - 6n - 27

• (5n + 3)(n-9)
• (5n - 3)(n + 9)
• (5n + 9)(n - 3)
• (5n - 9)(n + 3)

Factor:
 2n²-8n³

• 2n²(n-4n²)
• 2n²(1-4n)

• 2n³(10-8n²)
• 3n(1-4n)

Factor:
x² - 10x + 24

• (x - 6)(x - 4)
• (x + 6)(x + 4)
• (x - 12)(x + 2)
• (x - 8)(x - 3)

Factor (hint...take out the greatest common factor first)
2c² + 2c - 84

• (c-6)(2c+14)
• (c+7)(2c-12)
• (c-4)(2c+21)
• 2(c+7)(c-6)

Factor:
 2x² - 7x + 6

• (x -1)(2x - 6)
• (x - 3) (2x - 2)
• (x - 2) (2x - 3)
• (x - 6) (2x - 1)