Factoring Review

What is ALWAYS the first step when factoring?

• Find magic numbers

• Write a, b, and c

• Difference of squares

• Look for the GCF

Factor:
56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor:
80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁶)

• 3x²(80x³-40-60x⁵)

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Factor: 25x²-81

• (5x-9)²

• 25(x-9)²

• (9x-5)(9x-5)

• (5x+9)(5x-9)

32n² - 50
(Check for a GCF)

• (16n - 25)(16n + 25)

• 2(8n - 25)(8n + 25)

• 2(4n + 5)(4n - 5)

• Not Factorable

Factor:
 x² - 15x + 50

• (x - 10)(x - 15)

• (x - 10)(x - 5)

• (x - 25)²

• (x - 5)²

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor: 3v² - 4v-7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

4n² -17n-15

• (n-10)(6n+1)

• (4n-5)(n-3)

• (n-5)(4n-3)

• (n-5)(4n+3)