5. Factor fully.

a)
2 2
3 2
x  x  x  b)

2 5 4
3 2
x  x  x 

c)
6 15 6 16 4 3 2
x  x  x  x 

d)
5 3 12 4
3 2
x  x  x 

e)
6 46 15 3 2
x  x  x 

f)
4 19 16 19 12 4 3 2
x  x  x  x 

g)
4 14 44 35 4 3 2

1 answer

a) This expression cannot be factored further.

b) (2x + 5)(x + 4)

c) 2(x - 2)(x - 1)(x + 1)(x + 2)

d) (x + 2)(x - 3)(x + 4)

e) (2x + 3)(x - 5)(x + 2)

f) (x - 1)(x + 4)(x - 2)(x + 1)

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