Solving Quadratic Equations by Factorising

🎬 Video Tutorial

(0:01) Solving Quadratic Equations by Factorising: To solve $x^{2} + b x + c = 0$ , find two numbers, $m$ and $n$ , that multiply to the constant term $c$ and add to the coefficient $b$ .
(0:53) Why Factorisation Method Works: Factorisation breaks down quadratic expressions into linear factors, making it easier to find solutions directly without complex calculations.
(1:40) Factorising Quadratics Example: First, list factor pairs of the constant term. For $x^{2} + 7 x + 12 = 0$ , the pairs are $(1, 12)$ , $(2, 6)$ , and $(3, 4)$ . Then, only $(3, 4)$ adds up to 7, the coefficient of $x$ . So, the solutions are $x_{1} = - 3$ and $x_{2} = - 4$ .

📂 Revision Cards

Solving quadratic equations by factorising method step-by-step, note finding two numbers that multiply to the constant and add up to the coefficient of x. — 1) Solving Quadratic Equations by Factorising (Example 1)

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