Factoring by inspection It may be possible to express a quadratic equation as a product . In some cases, it is possible, by simple inspection, to determine values of p, q, r, and s that make the two forms equivalent to one another. If the quadratic equation is written in the second form, then the "Zero Factor Property" states that the quadratic equation is satisfied if or . Solving these two linear equations provides the roots of the quadratic.
factoRIng BY iNSpeCtion iT may bE posSIBlE TO eXprEss a QuaDrAtIc equAtion as a proDuCt . IN soMe caSEs, It iS possibLe bY simplE iNSPecTIon, to dEtermIne values Of p, q, r, anD s ThaT make the two foRMs equivaleNT to one another. If The qUadrAtIC equAtioN IS wRItten In thE seCond foRM, tHeN The "ZEro faCtOR ProPErTy" STatES that THE quadratIc equatioN is saTISFiED if or . solVIng thEse TwO linEar equatiOnS ProvidES the rOots oF The QuadrAtiC.