Factoring: GCF, X-method, Bottoms Up, Diff of Squares

Factor:
3m²n⁴ + 6mn³ + 9n²

• 3(m²n⁴ + 2mn³ + 3n²)
• 3n²(m²n² + 2mn + 3)
• 3mn²(mn³ + 2n + 3)
• 3m(mn⁴ + 2n³ + 3n²)

x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

9x² - 49y²

• ( 3x + 7y³) (3x + 7y³)

• ( 3x - 7y) (3x + 7y)

• ( 3x - 7y³) (3x - 7y³)

• Prime

x² + 81

• Prime
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What do you call a polynomial that cannot be factored?

• FOIL
• Simplified
• Prime
• Proper

Factor completely:

3x² + 18x +15

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor completely:

3x² + 18x +15

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Prime

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )