factoring

Multiple Choice

Which is a common factor of 12x and 27?

• x

• 12

• 3

• 9

Multiple Choice

Factor out the GCF:
12x + 6

• 6(2x + 1)
• 3(4x + 2)
• 6x(2x + 1)
• 2(6x + 3)

Multiple Choice

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Multiple Choice

Factor using GCF or monomial factoring:

2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(2x + 9)

• cannot be factored

Multiple Choice

What is the greatest common factor of 64m⁴n⁵p¹¹and 36m²n³p⁷?

• 4m²n³p⁷

• 2m²n³p⁷

• 4m⁴5p¹¹c

• 8m²n³p⁷

Multiple Choice

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Multiple Choice

What should be multiplied to (x²+5) to get (x⁴-25)?

• x²+5

• x²-5

• x+5

• x-5

Multiple Choice

4x² - 25

• (2x + 5) (2x - 5)

• (2x - 5)²

• (2x + 5)²

• 2x + 5(2x - 5)

Multiple Choice

4x²y² - 1

• (2 + xy) (2 - xy)

• (2x + y) (2x - y)

• (2xy + 1) (2xy - 1)

• (2y + x) (2y - x)

Multiple Choice

Factor: x² - 25

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

Multiple Choice

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

• DIFFERENCE OF TWO CUBES
• DIFFERENCE OF TWO SQUARES 
• FACTORING BY GCF 
• FACTORING BY GROUPING

Multiple Choice

x³ - 1000

• (x + 10)

  (x² - 10x + 100)

• (x - 10)

  (x² + 10x + 100)

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

Multiple Choice

Factor: 8x³ - 1

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

Multiple Choice

x³ - 27

• (x - 4)(x² + 4x + 16)
• (x + 3)(x² - 4x + 16)
• (x - 1)(x² + 1x + 1)
• (x - 3)(x² + 3x + 9)

Multiple Choice

Factor:
 n² + 10n + 25

• (n + 5)(n - 5)
• (n + 25)(n + 1)
• (n - 5)²
• (n + 5)²

Multiple Choice

Factor 

x² + 18x + 81                      

• (x + 9)(x – 9)
• (x + 18)²
• (x + 9)²
• (x + 6)²

Multiple Choice

Factor: x² - 4x + 4

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

Multiple Choice

Factor 

x² + 18x + 81                      

• (x + 9)(x – 9)
• (x + 18)²
• (x + 9)²
• (x + 6)²

Multiple Choice

Factor the perfect square trinomial
x² - 6x + 9

• (x-3)²
• (x+3)²
• (x+3)(x-3)
• (x+9)²

Multiple Choice

Factor 

$$k^2+7k+10$$  .

• $$(k+2)(k-5)$$  

• $$(k+2)(k+5)$$  

• $$(k+10)(k+4)$$  

• $$(k-2)(k-5)$$  

Multiple Choice

Factor $$x^2+9x-36$$  

• $$(x+12)(x-3)$$  

• $$(x+9)(x-4)$$  

• $$(x-9)(x-4)$$  

• $$(x-12)(x+3)$$  

Multiple Choice

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Multiple Choice

Factor
n² + 5n - 6

• (n - 2)(n - 3)
• (n - 1)(n + 6)
• (n + 1)(n - 6)
• (n + 2)(n - 3)

Multiple Choice

Factor
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)