Factoring Using Various Methods

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor 24x - 64 using the GCF

• 12 (2x - 5)

• 6 (4x - 12)

• 8 (3x - 8)

• 24 (x - 3)

Tags

CCSS.7.EE.A.1

Can 5x + 33 be factored

• yes

• no

Factor:
p² - 14p

• p(1 - 14)
• 2p(p - 7)
• p²(1-14)
• p(p - 14)

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Factor completely: 2x²+22x+60

• (2x+10)(x+6)
• (x+5)(x+6)
• 2(x+1)(x+30)
• 2(x+5)(x+6)

Factor completely:
 3x² + 5x - 12

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

x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.APR.C.4

Factor:x² - 25

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

Tags

CCSS.HSA.APR.C.4

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Tags

CCSS.HSA.APR.C.4