Chapter 7 - Factoring

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 of 4 and 12?

• 3
• 1
• 6
• 4

What is the GCF of 7 and 18?

• 7
• 18
• 1
• 3

What is the GCF of 15n⁵ and 9n⁴?

• 3n
• 3n⁵
• 3n²
• 3n⁴

Factor:

24m² + 4m³

• m²(24 + 4m)

• 4m(6m + m²)

• 4m²(6 + m)

• m(24m + 4m²)

Factor:
25y² - 36

• (5y - 6)(5y + 6)
• 5(5y² - 36)
• (5y + 6)²

Factor:

56a³ - 8a

• 8a²(56a³ - 8a)

• 8a(7a² - 1)

• 8a(7a³ - a)

• 8a²(35a² - a)

Factor:
a² + 14a + 49

• (a + 7)²
• (a - 7)²
• (a - 7)(a + 7)

Factor:
x² - 8x + 15

• (x + 3)(x + 5)
• (x - 3)(x - 5)
• (x + 1)(x + 15)
• (x - 1)(x - 15)

Factor

n² + 16n + 63

• (n - 7)(n + 4)

• (n + 7)(n - 9)

• (n - 3)(n - 10)

• (n + 7)(n + 9)