In the quadratic expression ax2+bx+cax^2 + bx + cax2+bx+c, what is the necessary condition for aaa?
a≠0a \neq 0a=0
a>0a > 0a>0
(x−3)2(x - 3)^2(x−3)2 must be ≥0\ge 0≥0, so (x−3)2+5(x - 3)^2 + 5(x−3)2+5 must be ≥5\ge 5≥5; it can never equal 000.
If a quadratic has a repeated root, its discriminant must be Δ=0\boxed{\Delta = 0}Δ=0.
Flashcards for Edexcel AS Level Maths Quadratics, covering the key formulae, methods and definitions you need to recall for Paper 1 and Paper 2. 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 AS Level Maths (8MA0) specification.
