Click on the button "Generate :" to obtain a quadratic polynomial.

The factor-pairs for  and  are displayed, and the first pair for each is auto-selected.

Click on the button "Possible Factors" to see all the possible arrangements of the factors of the quadratic if the selected factor-pairs of  and  are used.

Click on the button "Factors Expanded" to see if any of the possible arrangement of factors on the left expand to the given quadratic polynomial.

Continue until the correct pair of factors for both  and  have been found, and the appropriate arrangement of the members of these factor-pairs leads to a correct factorization of the given polynomial.