Factoring Polynomials

What is the GCF? 2x²-4x+8

• 2x
• 2
• x
• 1

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Solve: x²-4x=21

• {-7, 3}
• {-3, 7}
• {3, 7}
• {-3,-7}

Factor
x² - 9x + 18 

• A. (x - 6)(x - 3) 
• B. (x + 6)(x - 3)
• C. (x - 9)(x - 2)
• D. (x - 6)(x + 3) 

factor:x² - 25

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

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

Factor by GCF:
6x + 24

• 2(3x+12)
• 6(x+4)
• x(6+24)
• not factorable

What are the solutions of the factored polynomial? 

• {-6, +4}
• {-4, +6}

x² + 81

• Prime
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Factor Completely: x²-17x+72

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