How to Factor Quadratics (x² + 5x + 6 and x² − x − 30) – Step by Step

Stuck factoring a quadratic? We go slowly, step by step: how to find the two numbers, why the trick works (with a colour-coded area picture), and how to handle minus signs without getting the sign wrong. 0:00 Factor x² + 5x + 6 0:16 The key: multiply to 6, add to 5 0:58 Why it works – the area picture 1:57 With minus signs: x² − x − 30 2:28 The near-miss: −5 and 6 vs 5 and −6 3:08 The rule to remember Rule: for x² + bx + c, find two numbers that multiply to c and add to b – then check the signs. Narration: AI-generated voice. #math #algebra #factoring #quadratics