Factoring when a is not 1

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?!?!?!

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.
2n² + 17n - 30

• (2n - 3)(n + 10)
• (2n - 3)(n - 10)
• (2n + 3)(n - 10)
• (5n - 6)(n + 5)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.
5x² - 13x + 6

• (x - 3)(5x - 2)
• (5x - 3)(x - 2)
• 5(x - 3)(x + 2)
• Not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

6x² + 5x − 6

• 6(x + 1)(x − 6)

• (6x + 6)(x − 1)

• (2x − 3)(3x + 2)

• (3x − 2)(2x + 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

2m² + 3m − 9

• 2(m + 3)(m − 3)

• (2m − 3)²

• (m + 3)(2m − 3)

• (2m + 3)(m − 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Factor:
 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
x² - 400

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20)