Factor the following polynomial:?

Question

3x^3 - 9x^2

  A) x(3x^2 - 9)    
 
  B) 3x^2(x - 3)     
 
  C) (x + 3)(x - 9)     
 
  D) 2x(3 - x)(6 - x)     
2.)Factor the following polynomial:
3y - 6x + 4xy - 2y^2

  A) 2xy(x^2 - 3y + 2)    
 
  B) (x + 3y)(3x - y)  
 
  C) (2x - y)(2y - 3)      

  D) 3x(3 - x)(2 + y)      
3.)Factor the following polynomial:
12a^2 - 4ac + 3ab - bc

  A) (3b - a)(a + 4c)    
 
  B) 3a(2a - b + 3c)   
 
  C) 2(3a - b)(4a + bc)    
 
  D) (4a + b)(3a - c)    
4.)Factor the following polynomial:
35g^2h - 15gh^2

  A) 5gh(7g - 3h)    
 
  B)  7g^2(5h - 8g)    
 
  C)  5(7 - g)(8- h)    
 
  D)  15gh(g - 7)    
5.)Factor the following polynomial:
 6uv - 3v^3 + 4u - 2v^2

  A) (2u - v^2)(3v + 2)     
 
  B) (3u - 2v)(2u - 3)      
 
  C) 3uv(2u - 3v + 2)       
 
  D) 2v^2(3u - v)(2 - v^2)

Natalie Z · Accepted Answer

1.b
2.c
3.d
4.a
5.a

An ESL Learner · Answer

1)
3x^3 - 9x^2
= 3(x^3 - 3x^2)
= 3x^2(x - 3)
(answer B)

2)
3y - 6x + 4xy - 2y^2
= 4xy - 2y^2 - 6x + 3y
= (4xy - 2y^2) - (6x - 3y)
= 2y(2x - y) - 3(2x - y)
= (2x - y)(2y - 3)
(answer C)

3)
12a^2 - 4ac + 3ab - bc
= (12a^2 - 4ac) + (3ab - bc)
= 4a(3a - c) + b(3a - c)
= (3a - c)(4a + b)
(answer D)

4)
35g^2h - 15gh^2
= 5(7g^2h - 3gh^2)
= 5gh(7g - 3h)
(answer A)

5)
6uv - 3v^3 + 4u - 2v^2
= -3v^3 - 2v^2 + 6uv + 4u
= (-3v^3 - 2v^2) + (6uv + 4u)
= -v^2(3v + 2) + 2u(3v + 2)
= (3v + 2)(-v^2 + 2u)
(answer A)

sky · Answer

a) 3x^3 - 9x^2 = 3x^2(x-3)
b)3y - 6x + 4xy - 2y^2= 3(y-2x) +2y (2x-y) = (y-2x)(3-2y) = (2x-y)(2y-3)
c) 12a^2 - 4ac + 3ab - bc = 4a(3a -c) + b (3a-c) = (4a+b)(3a-c)
d)35g^2h - 15gh^2 = 5gh(7g-3h)
e) 6uv - 3v^3 + 4u - 2v^2 = 3v(2u - v^2) + 2 (2u - v^2) = (3v+2)(2u-v^2)

grunfeld · Answer

3x^3 - 9x^2 = 3x^2(x - 3)

Ravindra P · Answer

3x^3 - 9x^2 = 3x^2(x - 3)  (B)

miranda · Answer

4x^2-25 (2x+5)(2x-5) check: 4x^2-10x+10x-25 4x^2-25

Factor the following polynomial:?

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