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Beyond the Quadratic Formula | Original Student Handout + Errata

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Explore polynomial equations using algebra and a graphics display calculator (GDC) with Dr Taylan Çeltik’s original “Beyond the Quadratic Formula” student handout.


Your download contains two separate PDFs:

• The original 5-page July 2021 Student Handout, with its original questions and exercise numbers.

• A 2-page Errata Supplement, giving precise corrections to the original resource.


Topics include solving linear and quadratic equations, finding graph intercepts, polynomial-root tools and solving equations through intersections. The complete original also contains optional extension material on Cardano’s formula and volume modelling.


The accompanying recorded GDC lesson covers Questions 1-6. The original handout contains additional questions beyond that recording.


Please read the Errata Supplement alongside the handout. In Question 5, the stated domain excludes x=6. Question 6’s middle cubic has no printed right-hand side, so its intended equation is left unresolved. For the final quartic exactly as printed, 0.1x^4-2.5x^2+14.4=5, all four real roots are approximately -4.52,-2.15,2.15,4.52 (3 significant figures); the ±1.71 shown in the late video table does not solve that equation. The supplement also corrects the Cardano radicand and the missing factor 4 in the optional sphere-volume model.


Original question numbering is retained. The correction sheet is supplied separately so the original handout remains intact. Digital PDF download.

You will get the following files:
  • PDF (936KB)
  • PDF (98KB)