Mathematics - Algebra - Quadratics - Quadratic formula - When Factoring Fails

Show: x²+3x+1=0. 'Try to factor: find two numbers that multiply to 1 and add to 3.' Students realize: no integer pair works! (1×1=1, 1+1=2≠3). 'We need a formula that works for ANY quadratic.' Do 3 'unfactorable' quadratics to motivate the formula.

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Mathematics - Algebra - Quadratics - Quadratic formula - When Factoring Fails
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Mathematics - Algebra - Quadratics - Quadratic formula - When Factoring Fails

vivmagarwal
vivmagarwalJan 29, 2026

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Show: x²+3x+1=0. 'Try to factor: find two numbers that multiply to 1 and add to 3.' Students realize: no integer pair works! (1×1=1, 1+1=2≠3). 'We need a formula that works for ANY quadratic.' Do 3 'unfactorable' quadratics to motivate the formula.

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MathematicsAlgebra - QuadraticsClass 11, Grade 10, AS Level, Class 11, DP Grade 11

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