| 105 | Factor it | Easy | Lemma | FactoringZero product | |
| 747 | Factor and solve | Easy | Lemma | Quadratics | |
| 748 | The vertex | Easy | Lemma | Quadratics | |
| 749 | The discriminant | Easy | Lemma | Quadratics | |
| 750 | Product of roots | Easy | Lemma | Quadratics | |
| 1204 | Quadratic Equation from Rational Roots | Easy | Hall & Knight | Quadratic equationsRoots | |
| 1205 | Quadratic Equation from Algebraic Roots | Easy | Hall & Knight | Quadratic equationsRoots | |
| 1207 | Quadratic Equation with Surd Roots | Easy | Hall & Knight | Quadratic equationsSurds+1 | |
| 1208 | Quadratic Equation with Offset Surds | Easy | Hall & Knight | Quadratic equationsSurds+1 | |
| 1210 | Quadratic from Complex Roots | Easy | Hall & Knight | Quadratic equationsComplex roots+1 | |
| 1211 | Quadratic from General Complex Roots | Easy | Hall & Knight | Quadratic equationsComplex roots+1 | |
| 1216 | Equal roots parameter values 1 | Easy | Hall & Knight | discriminantequal roots | |
| 1219 | Sum of inverse squares of roots | Easy | Hall & Knight | roots of quadraticsVieta's formulas | |
| 1226 | Real roots of quadratic equation | Easy | Hall & Knight | quadratic equationsdiscriminant+1 | |
| 1251 | Equation reducible to quadratic form | Easy | Hall & Knight | substitutionquadratic equations | |
| 1252 | Biquadratic reciprocal equation | Easy | Hall & Knight | substitutionnegative exponents | |
| 1253 | Equation with fractional exponents | Easy | Hall & Knight | fractional exponentsquadratic equations | |
| 1257 | Radical Equation Substitution | Easy | Hall & Knight | radical equationssubstitution | |
| 1258 | Reciprocal Radical Equation | Easy | Hall & Knight | radical equationssubstitution | |
| 1259 | Fractional Exponents Equation | Easy | Hall & Knight | fractional exponentsquadratic form | |
| 1864 | Minimum Value of Quadratic | Easy | Hall & Knight | Quadratic extremaCompleting the square | |
| 1865 | Maximum Value of Quadratic | Easy | Hall & Knight | Quadratic extremaCompleting the square | |