Math 9R Lab: Factoring Polynomials (GCF, DOTS, Tri)

Factor by GCF

12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

Tags

CCSS.7.EE.A.1

What do you call a polynomial that cannot be factored?

• FOIL
• Simplified
• Prime
• Proper

Factor by GCF:
4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

16n² - 25

• (16n - 25)(16n + 25)
• (8n - 5)(8n + 5)
• (4n + 5)(4n - 5)
• Not Factorable

Tags

CCSS.HSA.APR.C.4

x² + 81

• not factorable

• ( x - 9 ) ( x + 9 )

• ( x + 9 ) ( x + 9 )

• ( x - 9 ) ( x - 9 )

Tags

CCSS.HSA.APR.C.4

Factor by GCF:

18a² - 15a

• 15a(3a - 1)

• 3a(6a - 1)

• 3(6a - 5)

• 3a(6a - 5)

x² - 400

• (x - 200) (x + 200)

• (x + 20) (x + 20)

• Prime

• (x - 20) (x + 20)

Tags

CCSS.HSA.APR.C.4

Factor x² - 25 (DOTS)

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

Tags

CCSS.HSA.APR.C.4

Factor:
x² - 5x

• 1(x - 5)
• x(x - 5x)
• x(x - 5)
• x²(1 - 5)

Factor (Easy Trinomial)
n² + 5n - 6

• (n - 2)(n - 3)
• (n - 1)(n + 6)
• (n + 1)(n - 6)
• (n + 2)(n - 3)