This is in the form Ax^2+Bx +C where A=1 B=2 and C=-3 We need to find two numbers (let's call them p and q) which multiply to equal C and add to equal B. Since C is negative we need a positive number and a negative number. In this case we can say p=-1 and q=3 since -1*3=-3=C and -1+3=2=B Now we split B into p and q in the original formula so it becomes x^2-x+3x-3 We can then factorise it in two parts