HONORS - ALL FACTORING TECHNIQUES

Factor:
 2n²-8n³

• 2n²(n-4n²)
• 2n²(1-4n)

• 2n³(10-8n²)
• 3n(1-4n)

Factor:
24c⁵ - 12c³

• 6(4c⁵ - 2c³)
• 12c³(2c²)
• 12c³(2c² - 1)
• 12c³(2c² - 0)

30x³+15x²-18x-9

• (5x²-3)(6x+1)
• (5x²-3)(6x+3)
• 3(5x²+3)(2x-1)
• 3(5x²-3)(2x+1)

x³-5x²+5x-25

• (x²-5)(x-5)
• (x²+5)(x-5)
• (x²+5)(x+5)
• (x²-1)(x-25)

Factor this trinomial:
x²+10x+16

• (x+2)(x+8)
• (x-2)(x-8)
• (x+1)(x+16)
• (x+6)(x+10)

Factor this trinomial:
k² - 2k - 24

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

Factor this trinomial:
x² - 5x - 36

• (x - 4)(x + 9)
• (x - 6)(x + 6)
• (x + 4)(x - 9)
• (x -12)(x + 3)

Factor
3a² + 4a + 1

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

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)²
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)