Factoring Polynomials

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

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

Factor Completely: x²-17x+72

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

What are the solutions of the factored polynomial? 

• {-6, +4}
• {-4, +6}

Factor
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Tags

CCSS.HSA.APR.C.4

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

x² + 81

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

Tags

CCSS.HSA.APR.C.4

Factor by GCF:
6x + 24

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

Tags

CCSS.7.EE.A.1

factor:x² - 25

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

Tags

CCSS.HSA.APR.C.4

Factor
x² - 9x + 18 

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

Solve: x²-4x=21

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

Tags

CCSS.HSA-REI.B.4B