Factoring Applications and Review

GCF of 12 and 18

• 3
• 4
• 6
• 2

Factor:
18a² - 15a

• 15a(3a-1)
• 3a(6a-1)
• 3(6a-5)
• 3a(6a-5)

Factor completely

45xy + 15x³y + 10y

• 5y (9xy + 3x² + 2y)

• 5xy (9 + 3x² + 2)

• 5x (9y + 3xy + 2)

• 5y (9x + 3x³ + 2)

Factor:
56a³ - 8a

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

Factor by grouping: 2x³-8x²-x+4

• (2x²-1)(x-4)

• 2(x²-1)(x+4)

• (x²-1)(2x-4)

• (2x²+1)(x-4)

What is the GCF of 18k and 15k³

• 3k²
• 3k³
• 3k
• 5k

Factor:
x² - 9x + 20

• (x - 10)(x - 2)
• (x - 20)(x - 1)
• (x - 10)(x + 2)
• (x - 5)(x - 4)

Factor: x² + 2x – 3

• (x - 2)(x + 1)
• (x + 1)(x - 3)
• (x + 2)(x - 1)
• (x - 1)(x + 3)

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

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Not Factorable

Factor: x² - 25

• ( x + 5 ) ( x - 5 ) 

• ( x - 5 ) ( x - 5 ) 

• ( x + 5 ) ( x + 5 ) 

• Prime