Factoring Basics

Factor Completely: x²-17x+72

• (x-9)(x+8)
• (x-9)(x-8)
• x(x-3)
• (x+9)(x+8)

Factor Completely: x²-7x-8

• (x+1)(x-8)
• (x+1)(x+8)
• 5(x+4)(x+5)
• (x-1)(x+8)

Factor Completely: 2k²-14k-60

• 2(k-10)(k-3)
• Not Factorable
• (k-5)(k+9)
• 2(k-10)(k+3)

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)
• (x²+3x)(x²-3x)
• (x²+9)(x-3)(x+3)
• x²(x²-9)

Factor
n²-13n+40

• (n-5)(n-8)
• (n+5)(n-8)
• (n-5)(n+8)
• (n+6)(n+1)

w⁴ - 625

• (w² + 25) (w² - 25)

• (w² - 25) (w² - 25)

• (w²+ 25) (w+5) (w-5)

• (w+25)(w-25)

x⁶ - 400

• ( x³ - 200) ( x³ + 200)

• ( x² + 20) ( x² + 20)

• ( x - 20) ( x + 20)

• ( x³ - 20) ( x³ + 20)

x⁴ - 100y²

• (x² + 10y) (x² - 10y)

• (x + 10y) (x - 10y)

• (x + 10y) (x³ - 10y)

• (x³ + 10y) (x - 10y)

Factor:   x³ + 1

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

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)