In this guide, we'll walk through Factor: x²-4x + 4 step by step. Whether you're revising for an exam or practising polynomial factoring, this clear walkthrough will help you understand not just the answer, but the reasoning behind every step.
(x-2)²
Step 1: p+q=-4, p·q=4
Step 2: p=q=-2
Step 3: Perfect square: (x-2)²
This problem uses polynomial factoring. The key idea is to perform the same operation on both sides to keep the equation balanced. Each step brings you closer to isolating the unknown variable.
❌ Mistake 1: Forgetting to apply the same operation to both sides of the equation.
❌ Mistake 2: Making sign errors when moving terms across the equals sign.
❌ Mistake 3: Not simplifying the final answer completely.
(x-2)²
This problem uses polynomial factoring. The key idea is to perform the same operation on both sides to keep the equation balanced. Each step brings you closer to isolating the unknown variable.