7.8 Factoring Completely

Factor:
56a³-8a

• 8a²(56a³-8a)
• 8a(7a²-1)
• 8a(7a³-a)
• 8a²(35a²-a)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
2n³+16n+12

• 2n(n³+24n+6)
• 2(n³+8n+6)
• 2n(n³+8n+6)
• 3(n³+8n+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

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.APR.C.4

Factor Completely: 
x⁴-9x²
Hint: Factor GCF first. 

• x²(x+3)(x-3)
• (x²+3x)(x²-3x)
• (x²+9)(x-3)(x+3)
• x²(x²-9)

Tags

CCSS.HSA.APR.C.4

x² - 25

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

Tags

CCSS.HSA.APR.C.4

Factor p³ - 3p² - 16p + 48 

• p² ( p - 3) (p - 3) 
• (p² - 16) (p - 3)  
• (p + 4) (p - 4) (p - 3) 
• p² ( p - 3) + 4(-p + 3)

Factor x³ + 2x² - 49x - 98 

• (x² - 49) (x + 2) 
• (x² - 49) (x + 2) (x + 2) 
• (x + 7) (x - 7) (x + 2) 
• (x² - 49) (x + 2) (x + 2)