Factorisation
Roots from factors
Connect (x − r₁)(x − r₂) = 0 with x = r₁ or x = r₂.
Mathematics · Grade 10
Understand quadratics from factors, roots and graphs.
Grade 10 begins by connecting the equation ax² + bx + c = 0 with factorisation, the discriminant, the quadratic formula and the x-intercepts of a parabola.
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Quadratics Lab
Factor quadratic equations, reason with the discriminant, solve with the quadratic formula and connect roots to the graph.
Discriminant
Predict the roots
Use D = b² − 4ac to determine whether a quadratic has two, one or no real roots.
Graphs
See x-intercepts
Connect the roots of the equation with the points where its parabola crosses the x-axis.