Next: Some History Up: From Algebra to Algebraic Previous: High School Algebra Quadratic Equations For instance, for the class of quadratic polynomial equations ( ) recall that even if you cannot factor the equation, it is still possible to apply the Quadratic Formula: to find the roots. Depending on your class, you may or may have not seen why this works. One standard way to derive the quadratic formula uses several of the manipulation techniques described above to rewrite the ...