Algebra 2: Factoring Polynomials

Factor Completely:
x² - 36

• (x + 9)(x - 4)
• (x - 6)(x - 6)
• (x - 9)(x + 4)
• (x + 6)(x - 6)

Tags

CCSS.HSA.APR.C.4

Factor completely.
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Factor completely.
4b⁵+4b³+16b²

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

Tags

CCSS.HSA.APR.C.4

Factor Completely.  
8x³ - 18x

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

Tags

CCSS.HSA.APR.C.4

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Factor completely.
8x⁶ - 64

• Prime
• (x²-2)(x⁴+2x²+4)
• 8(x²-2)(x⁴+2x²+4)
• 8(x²+2)(x⁴+2x²+4)

Tags

CCSS.HSA.APR.C.4

Factor 12a² - 15ab - 16a + 20b 

• 3a ( 4a - 5b) - 4 ( 4a - 5b )
• ( 4a - 5b)( 3a - 4 )
• ( 6a - 10b )( 2a - 2b)
• Prime 

Factor 9c³d² - 6cd³

• 3cd ( 3c²d - 2d² )
• 3cd
• 3cd² ( 3c² - 2d )
• 3cd²