Factoring Polynomials - Special Cases

Factor:
x² + 81

• Prime (not factorable)
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Tags

CCSS.HSA.APR.C.4

Factor:
x² - 16

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

Tags

CCSS.HSA.APR.C.4

Factor out the GCF:
9x⁴y - 24x²

• 9x²y(x² - 3)
• 3x³(3xy - 8)
• 3x²(3x²y - 8)
• x²(9x²y - 24)

Factor
27x³-64

• (3x-4)(9x²+12x+16)
• (3x-4)(9x²-12x+16)
• (3x+4)(9x²-12x+16)
• (3x+4)(9x²+12x+16)

Tags

CCSS.HSA.APR.C.4

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
216x³+125

• 6(x+5)³
• (6x+5)³
• (6x+5)(6x²-30x+25)
• (6x+5)(36x²-30x+25)

Tags

CCSS.HSA.APR.C.4

Identify if the expression can be factored as sum or difference of cubes:

3x³ + 24

• No

• Yes

• Yes, getting GCF first

• It is a sum of squares

Tags

CCSS.HSA.APR.C.4

Factor this sum of cubes:

2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

Tags

CCSS.HSA.APR.C.4