Factoring (a=1 and DOTS)

Factor
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
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
k² - 2k - 24

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

Factor
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Tags

CCSS.HSA.SSE.A.2

Factor Completely: 
2c² + 4c - 84
Hint: Factor GCF first.

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

9x² - 49y²

• ( 3x + 7y) (3x + 7y) 
• ( 3x - 7y) (3x + 7y) 
• ( 3x - 7y) (3x - 7y) 
• Prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

x² - 225

• ( x + 15) ( x + 15) 
• Prime
• ( x - 15) ( x + 15) 
• ( x - 15) ( x - 15)