Factorising (single bracket)
Factorise the following (put it back into brackets):
x2 + 3x
x(x + 3)
Factorise the following:
x2 + 3x + 2
(x + 2)(x + 1)
Expand the following:
x(x + 5)
x2 + 5x
Expand the following:
(x + 1)(x + 5)
x2 + 6x + 5
What are the solutions to x in:
(x - 3)(x - 10)
x = 3 and 10
Factorise the following (put it back into brackets):
x2 - 10x
x(x - 10)
Factorise the following:
x2 + 5x + 6
(x + 2)(x + 3)
Expand the following:
2(x - 10)
2x - 20
Expand the following:
(x + 3)(x + 10)
What are the solutions to x in:
(x + 5)(x + 6)
x = -5 and -6
Factorise the following (what do they both have in common?):
2x2 + 12
2(x + 6)
Factorise the following:
x2 - 5x + 6
(x - 3)(x - 2)
Expand the following:
x(2x - 3)
2x2 - 3x
Expand the following:
(2x + 1)(x + 5)
2x2 + 11x + 5
What are the solutions of x in:
x(x + 24)
x = 0 and -24
Factorise the following (what do they both have in common?):
10x2 + 10x
10x(x + 1)
Factorise the following:
x2 - 10x + 25
(x - 5)(x - 5) OR (x - 5)2
Expand the following:
5x(x - 3)
5x2 - 15x
Expand the following:
(x - 4)(x + 4)
x2 - 16
What are the solutions of x in:
2x(x - 10)
x = 0 and 10
Factorise the following (what do they both have in common?):
10x2 - 120
10(x2 - 12)
Factorise the following (first take out a common factor):
2x2 + 6x + 4
Step 1: 2(x2 + 3x + 2)
Step 2: 2(x + 2)(x + 1)
Expand the following:
(x + 4)2
(x + 3)(x + 3) = x2 + 6x + 9
Expand the following:
(x - 10)(x + 10)
x2 - 100
What are the solutions to x in:
x2 - 100
(HINT: Factorise first!)
Step 1: (x + 10)(x - 10)
Step 2: x = 10 and -10