Factorise x^2+3x+2=0

Using the letters a,b and c we label our coefficients by comparing our equation to ax^2+bx+c=0. This means we have; a=1, b=3 and c=2.To factorise a quadratic equation we need to put it into the form (x+)(x+)=0 where the underscores represent numbers. The two numbers in this solution must multiply to make c (in this case 2) and add to make b (in this case 3). For this question our two numbers are 1 and 2 so the solution to the question is: x^2+3x+2=(x+1)(x+2)=0.