Factorising Quadratics

Question 1

Factorise X squared + 10x + 24

Answer 1

4 + 6 = 10
4 X 6 = 24
(X+4) (X+6)

Question 2

Factorise 4e + 6

Answer 2

3 X 2 = 6
2 (2e + 3)

Only use 1 bracket, find the highest common factor of both, times it to make the right number to find out the contents of the bracket

Question 3

Factorise a squared - 36

Answer 3

( a + 6) ( a - 6)

If the numbers squared one is going to be a + and one a -

Question 4

Expand (X+9)(X-3)

Answer 4

=X (X-3) 9 (X-3)
= X squared - 3x - 9x - 27
= X squared + 6x - 27