Factoring Is Multiplying Backwards | Factoring

Someone hands you a cake: x² + 5x + 6. What ingredients went into it? Factoring is "un-baking": multiplying backwards to find the pieces that made the expression. In this video you'll SEE why factoring works (algebra tiles that snap into a rectangle), learn the X puzzle for x² + bx + c, the sign rules, the special patterns, and the ac method — plus the two traps that cost the most points on tests. In this video you'll learn: ✔ Factoring = multiplying backwards (prime factors and the GCF) ✔ GCF factoring: 6x² + 9x = 3x(2x + 3) ✔ Why it works: x² + 5x + 6 tiles form an (x + 2) by (x + 3) rectangle ✔ x² + bx + c: two numbers that multiply to c and add to b (+ the sign rules) ✔ Difference of squares a² − b² = (a + b)(a − b) and perfect squares ✔ The ac method for 2x² + 7x + 3 ✔ The traps: forgetting the GCF, and why x² + 9 doesn't factor ✔ 3 examples from easy to SAT/GCSE level + a 5-second challenge ✔ Real world: solving a garden problem with the zero product property ⏱️ CHAPTERS 0:00 Un-baking a cake: x² + 5x + 6 0:39 Factoring = multiplying backwards (prime factors, GCF) 1:22 GCF factoring: 6x² + 9x 2:07 Why it works: algebra tiles 3:11 x² + bx + c: the X puzzle 3:56 Minus signs: the sign rules 4:38 Difference of squares & perfect squares 5:34 ax² + bx + c: the ac method 6:20 Example ladder 7:38 The trap: GCF first & x² + 9 8:36 5-second challenge 9:19 Real world: the garden problem 10:14 3-card recap 10:43 Wow fact: factoring protects the internet ◀️ Previous: AL-07 · Special Products ▶️ Next: AL-09 · Systems of Equations 📚 Full playlist: The X Lab · Algebra 1 💬 Tell me in the comments: how do you factor x² − 2x − 15? 👍 If this helped, hit like and subscribe — new visual math every week. 🇪🇸 ¿Prefieres en español? → @AlgebrayTrigonometria #math #algebra #factoring #algebra1 #mathhelp #SATmath #GCSEmaths