Factoring

Factor out the GCF:
12x + 6

• 6(2x + 1)
• 3(4x + 2)
• 6x(2x + 1)
• 2(6x + 3)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Factor by GCF:
17xy - x

• 17(xy - x)
• y(17x - x)
• x(17y - 1)
• not factorable

Factor:
 2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)
• 3y³(13y² + 4y - 1)
• y³(39y² + 12y - 3)

Factor:
80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)
• 10x²(80x⁴-70x-60x⁶)
• 10x²(8x³-7-6x⁵)
• 3x²(80x³-40-60x⁵)

Which one is false about the difference of two squares?

• We can factor because there is addition sign.

• We can factor because there is a perfect squared number (Example: x², 25, 49)

• Formula: a² - b² = (a + b) (a - b)

• We can factor because there is minus sign.

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)