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Factorizing #1

Total questions: 12

Worksheet time: 24mins

Name
Class
Date
1.
Factor:
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
2.

6m2 + 16m

a)

2(3m2 + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

3.
Factorise 4x + 14
a)
2(2x+7)
b)
4(x+10)
c)
4(x+3)
d)
2(x+12)
4.
Factorise fully: ab + 4b
a)
a(b+4)
b)
b(a+4)
c)
ab(1+4)
d)
b(a+4b)
5.
Factorise 6b + 8
a)
4(2b+2)
b)
2(3b+4)
c)
2(b+4)
d)
4(3b+2)
6.
x2 - 9
a)
(x + 3) (x - 3)
b)
(x - 3) (x - 3)
c)
(x + 3) (x - 6)
d)
Can't factor using Diff. of Squares
7.
4a2 - 25
a)
(2a + 5) (2a - 5)
b)
(2a - 5) (2a - 5)
c)
(x + 5) (x - 5)
d)
Can't factor using Diff. of Squares
8.
16p3 - 81q6
a)
(4p + 9q) (4p - 9q)
b)
(4p2 + 9q3) (4p - 9q3)
c)
(4p2 + 9q) (4p - 9q)
d)
Can't factor using Diff. of Squares
9.
9n2 + 1
a)
(3n + 1) (3n - 1)
b)
(3n - 1) (3n - 1)
c)
(n + 3) (n - 3)
d)
Can't factor using Diff. of Squares
10.
r2 - 9t2
a)
(r + 3t) (r - 3t)
b)
(r - 3t) (r - 3t)
c)
(3r + t) (3r - t)
d)
Can't factor using Diff. of Squares
11.

Completely factor 

 3x2+6xy+9xy23x^2+6xy+9xy^2  

a)

 3x(2y+3y2)3x\left(2y+3y^2\right)  

b)

 3x(x+2y+3y2)3x\left(x+2y+3y^2\right)  

c)

 3(x+y2)3\left(x+y^2\right)  

d)

Prime

12.

Factor completely

 a2b2c+2ab2c33ab3ca^2b^2c+2ab^2c^3-3ab^3c  

a)

 a2b2(c+2c33c2)a^2b^2\left(c+2c^3-3c^2\right)  

b)

 abc(ab+2bc23b2)abc\left(ab+2bc^2-3b^2\right)  

c)

 ab2c(a+2c23b)ab^2c\left(a+2c^2-3b\right)  

d)

Prime