Factoring Expressions into Binomials

Factor Completely:
x² - 36

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

Factor:
x² - 49

• (x + 7)(x - 7)
• (x + 7)²
• (x - 7)²
• (x+7)(x-1)

Factor the following
12x³y⁴z²+14x⁴yz-6x⁵y⁴z²

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

Which of the following binomials is not a difference of squares?

• x² - 64
• x² - 16
• x² + 400
• x² - 100

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)

Which binomials are a difference of two squares?
I. 81 - c²          II. 64g²  -h²
III. 25y² + 1   IV. 36n² - 27m⁴

• I & III
• I only
• I & II
• I, II, & IV

Factor Completely:

3x⁵ - 27x³

• 3(x³ - 3)(x² + 3)

• prime

• 3x³(x² - 9)

• 3x³(x - 3)(x + 3)

Factor: 8x³ - 1

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