Factor Review Algebra

Factor Completely x⁴ - 625

• (x²-25)(x²+25)

• (x-5)(x+5)(x²+25)

• (x-25)²(x+25)²

• (x-25)²

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

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor
k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor
x² + 12x + 36

• (x + 6)(x +6)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 6)(x - 6)

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Factor
x² - 13x + 36

• 
  (x + 9)(x + 4)

• 
  (x - 9)(x - 4)

• 
  (x + 9)(x - 4)

• 
  (x - 9)(x + 4)

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

x² - 16

• Prime

• ( x - 4) ( x + 4) 

• ( x - 8) ( x + 8) 

• ( x - 4) ( x - 4)