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Quadratics

In the quadratic expression ax2+bx+cax^2 + bx + cax2+bx+c, what is the necessary condition for aaa?

A

A square of a real expression (e.g., (x−h)2(x - h)^2(x−h)2) is always non−negativenon-negativenon−negative or ≥0\boxed{\ge 0}≥0​.

B
  • Complete the square: (x+1)2+8(x + 1)^2 + 8(x+1)2+8
  • State that (x+1)2≥0(x + 1)^2 \ge 0(x+1)2≥0
  • Conclude minimum value is 888, which is >0> 0>0
C

a≠0a \neq 0a=0

D

The normal is a vertical line (x=xturning pointx = x_{turning\,point}x=xturningpoint​).

Quadratics Flashcards

  1. A Level
  2. /Maths
  3. /Quadratics

Flashcards for Edexcel A Level Maths Quadratics, covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 22 cards drawn from 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics, matched to the Edexcel A Level Maths (9MA0) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.

Flashcards