Factoring

Factor:
x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Factor:
3x² - 75

• 3( x + 5 ) ( x - 5 ) 
• Prime
• ( x + 5 ) ( x - 5 ) 
• 3( x - 5 ) ( x - 5 ) 

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor n³-27

• (n-3)(n²+9)

• (n+3)(n²-9)

• (n+3)(n²-3x+9)

• (n-3)(n²+3x+9)

Factor 125-r³

• (5-r)(25-r+r²)

• (r-5)(r²+5r+25)

• (5-r)(25+5r+r²)

• (5+r)(25-5r+r²)

Factor completely 250x⁴+128x

• (5x+4)(25x³-20x²+16x)

• 2(5x+4)(25x³-20x²+16x)

• x(10x+8)(25x²-20x+16)

• 2x(5x+4)(25x²-20x+16)

Factor completely 648a+1029a⁴

• a(18+21a)(36-42a+49a²)

• a(18+21a)(36+42a+49a²)

• 3a(6+7a)(36+42a+49a²)

• 3a(6+7a)(36-42a+49a²)

Factor
x² + 9x - 36

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

Factor:
x² + 6x + 20

• (x + 4)(x + 5)
• (x + 20)(x + 1)
• (x + 10)(x + 2)
• PRIME