Solving Quadratic Equations by Factorising

🎬 Video Tutorial

(0:01) Solving Quadratic Equations by Factorising: To solve $x^2 + bx + c = 0$, 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 $x^2 + 7x + 12 = 0$, 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)

Solving quadratic equations by factorisation, with example x² + 7x + 12 = 0, note steps to find factors 3 and 4, with solutions. — 2) Solving Quadratic Equations by Factorising (Example 2)

Solving quadratic equations by factorisation: find two numbers that multiply to be the constant (-18) and add up to be the coefficient of x (3). — 3) Solving Quadratic Equations by Factorising (Example 3)

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