Factor Polynomials

Factor:
 4h² - 17h + 4

• (2h - 2)²

• 4(h + 4)(h + 1)

• (2h - 2)(2h + 2)

• (h - 4)(4h - 1)

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

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

7r³-8r²+42r-48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

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

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

x² - 16

• Prime

• ( x - 4) ( x + 4) 

• ( x - 8) ( x + 8) 

• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.APR.C.4

x² + 81

• (X-9i) (X+9i)

• ( x - 9 ) ( x + 9 )

• ( x + 9i ) ( x + 9i )

• ( x - 9i ) ( x - 9i)

Tags

CCSS.HSA.APR.C.4

Factor:   x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4) 

• (x+4)(x² -4)

• (x-4)(x-2)