Factorisation Steps: To solve x² + bx + c = 0, find two numbers, m and n, that multiply to the constant (c) and add to the coefficient of x (b).
Using Factor Pairs: List factor pairs of the constant term. For example, for x² + 7x + 12 = 0, the pairs are (1, 12), (2, 6), and (3, 4). Only (3, 4) adds up to 7, matching the coefficient of x.
Why Factorisation Works: Factorisation breaks down the quadratic into linear factors, making it easier to identify solutions directly without complex calculations.