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Math · Intermediate

Quadratics & Polynomials

Quadratics describe projectiles, profits and areas. Learn to factor them with area pictures, complete the square to find the vertex, derive the quadratic formula yourself, relate roots to coefficients with Vieta's formulas, see how higher-degree polynomials behave, and use quadratics to find maximum revenue and area.

7 lessons~35 min0/7 complete
Start courseHelpful background: Functions & Graphs
1

Solving Quadratics

Three methods, one idea.

  1. FactoringArea pictures and the zero product
  2. Completing the SquareFind the vertex, every time
  3. The Quadratic FormulaAnd the discriminant
2

Polynomials

Higher powers.

  1. Polynomial ShapesDegree, roots and turns
  2. Vieta’s FormulasRoots from coefficients
  3. Quadratics at WorkMaximising revenue and area
  4. Finite DifferencesSpotting quadratics in data

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