Factoring Binomials and Analyzing Parabolas

Factor Completely:
x² - 36

• (x + 9)(x - 4)
• (x - 6)(x - 6)
• (x - 9)(x + 4)
• (x + 6)(x - 6)

What do you call a polynomial that cannot be factored?

• FOIL
• Simplified
• Prime
• Proper

   6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Factor the following
12x³y⁴z²+14x⁴yz-6x⁵y⁴z²

• 2x³yz(6xy³z+7x-3x²y³z)
• 6x³yz(2y³z+2x-1x²y³z)
• 2x²y²z(6y³z+7x-3x²y³z)
• 2xyz(6x²y³z+7xyz-3x²y³z)

Which binomials are a difference (subtraction) of two squares?
I. 6a²-25
II. 4x²+16
III. b²-9
IV. 49y²-64

• I only
• III only
• III and IV
• II, III, and IV

factor completely 
81m² - 1 

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

Factor Completely: 5x⁴-5

• 5(x²-1)(X²+1) 
• 25(x²-1)(x²+1)
• 5(x+1)(x-1)(x²+1)
• 5(x⁴-1)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X³-343?

• DIFFERENCE OF CUBES

• DIFFERENCE OF SQUARES

• FACTORING BY GCF

• SUM OF CUBES