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Absolutely! Quadratics are super important for SAT Math. Let me break this down step by step. Key SAT Quadratic Forms: 📐 Standard Form: ax² + bx + c = 0 🎯 Vertex Form: a(x - h)² + k = 0 ⚡ Factored Form: a(x - r)(x - s) = 0 SAT Strategy Tips: • Look for perfect square patterns • Try factoring before using quadratic formula • Graph when possible (especially vertex problems) Practice Problem: If x² - 6x + 8 = 0, what are the solutions? Hint: Try factoring first! Look for two numbers that: • Multiply to 8 (the c term) • Add to -6 (the b term) Give it a try! I'll guide you through it. 🧮

Perfect! You nailed it! 🎉 Your work: (x - 2)(x - 4) = 0 Solutions: x = 2 or x = 4 Let's verify: • For x = 2: (2)² - 6(2) + 8 = 4 - 12 + 8 = 0 ✓ • For x = 4: (4)² - 6(4) + 8 = 16 - 24 + 8 = 0 ✓ SAT Success Strategy: You just demonstrated the ideal SAT approach: 1. Recognize the pattern (quadratic that might factor) 2. Factor systematically (find factors of c that add to b) 3. Verify your answer (always plug back in!) Time-Saving Tip: On the SAT, factoring is usually faster than the quadratic formula when it works cleanly like this. Next Level Practice: Ready for a slightly harder SAT-style problem? *If x² - 5x - 6 = 0, and both solutions are integers, what is the sum of the solutions?* Bonus: There's a shortcut using the relationship between coefficients! 📈

Excellent work! 🌟 You're really getting this! Your Solution: x = 6 or x = -1 Sum: 6 + (-1) = 5 ✓ SAT Power Tip You Just Discovered: For any quadratic ax² + bx + c = 0, the sum of roots = -b/a In x² - 5x - 6 = 0: sum = -(-5)/1 = 5 You can use this shortcut to check your work or even solve directly! Your SAT Math Progress: ✅ Factoring quadratics - Mastered ✅ Verification technique - Excellent ✅ Sum of roots property - Discovered ⏭️ Next: Vertex form and graphing applications Study Plan Recommendation: 📖 Tonight: Practice 10 more factoring problems 📅 Tomorrow: Quadratic formula for non-factorable equations 📊 This Week: SAT practice test (Math sections 3-4) Parent Update: [Automatically sent] *"Great SAT Math session today! Mastered quadratic factoring and discovered the sum of roots property. Ready for more advanced quadratic topics."* Want to continue with vertex form, or should we switch to another SAT Math topic? 🎯