Solve the quadratic equation x^2 + 3x + 2 = 0, by factorisation.

We need two numbers, a and b, such that a*b = 2 and a+b=3Looking at the equation it can be seen that 2 and 1 fulfill these conditions.Therefore x² +3x +2=0        = (x+2)(x+1)=0This means we need either x+2 or x+1 to equal 0 x+2=0 so x= -2 or x+1=0 so x= -1Therefore x= (-1 , -2)