Factoring Polynomials Using Gcf, Trinomials, and Differences of Two Squares

What does GCF mean?

• green colored frogs

• greatest coefficient

• greatest common factor

• greater common fraction

Factor Completely:
-3x - 15

• -3 (x+ 5)
• 3 (x + 5)
• -3 (x -5)

x⁵ + x⁴ + x²

• x³(x² + x + 1)

• x(x⁴ + x³ + x)

• x²(x³ + x²)

• x²(x³ + x² + 1)

• 2n²(n-4n²)

• 3n(1-4n)

Factor by GCF:

2a³ - 2a²

• 2a²(a)

• 2a(2a² - a)

• 2a²(a - 1)

• 2a²(a + 1)

Factor:
80x⁵-70x²-60x⁷

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

x² - 225

• ( x + 15) ( x + 15) 
• Prime
• ( x - 15) ( x + 15) 
• ( x - 15) ( x - 15) 

25x² - 100

• ( 5x - 10) (5x + 10)

• ( 5x + 10) (5x + 10)

• Prime

• ( 5x - 50) (5x + 50)

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x - 7y³) 
• Prime

Factor Completely:

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Prime

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )