Factoring Completely Lesson

8x³ - 18x

• 2x(4x²-9)                                    
• (4x²+3) (2x-3)
• 2x(2x+3) (2x-3)
• PRIME

5x³ - 40x² + 60x

• (5x²-2) (x-6)
• 5x(x-2) (x-6)
• 5x(x²-8x+12)
• PRIME

15m³ + 24m² + 9m

• 3m(5m²+8m+3)
• 3m(5m+3) (m+1)
• 3m(5m-3) (m-1)
• PRIME

50m³ - 2m 

• 2m(25m²-1)
• 2m(5m-1) (5m-1)
• 2m(5m-1) (5m+1)
• PRIME

Factor Completely: 
3x⁵ - 27x³
Hint: Factor GCF first. 

• 3(x³ - 3)(x² + 3)
• prime
• 3x³(x² - 9)
• 3x³(x - 3)(x + 3)

Tags

CCSS.HSA.APR.C.4

Factor completely:
3x² - 7x - 6

• (3x + 2)(x - 3)
• (3x - 2)(x + 3)
• (3x - 3)(x + 3)
• (3x - 4)(x - 2)

Factor
81m² - 1 

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

Tags

CCSS.HSA.APR.C.4

What is the GCF of the trinomial?
6x⁵y⁴+24x⁶y²-36x³y³

• 6x³y²
• 6xy

Factor completely.  3𝑥³y² – 2𝑥²y + 5xy

• y(3x³y-2x²+5)
• xy(3x²y-2x+5)
• x(3²y²-2xy+5y)
• 2xy(3/2x²y-x+5/2)

Factor Completely: 
2k²-14k-60

• 2(k-10)(k-3)
• Not Factorable
• (k-5)(k+9)
• 2(k-10)(k+3)