Factorise
x2 + 8x + 12
So…x12, +8. What two numbers multiply to 12 and add to 8? 2&6 so
(x+2) (x+6)
x2 + 5x + 6
So x6,+5. What two numbers multiply to 6 and add to 5? 3&2 so
(x+3) (x+2)
x2 +2x +1
So x1 and +2 what two numbers multiply to 1 and add to 2? 1&1 so…
(x+1) (x+1)
x 2 - 7x + 10
(x-2) (x-5)
x2 - 9x + 18
(x-3) (x-6)
x 2 - 12x + 27
(x-9) (x-3)
x 2 + 2x -24
(x-4) (x+6)
x 2 -x -30
(x-6) (x+5)