x^2 + 6x + 8

Factorising Quadratics, double bracketsWe want two numbers that multiply to give 8 and add to give 6. Lets list the factors of 8: 1, 2, 4, 8From the list of of numbers above, which 2 can add to give +6?2 and 4so the two brackets will be as follows:(X+2)(x+4).To explain why the brackets have an x in them- the question is x^2, the square root of this is x. Hence why each bracket will need a singular x so that when multiplied out it will give x^2.