Why it matters

• Use the quadratic formula when factoring isn’t friendly.
• Read the discriminant to know how many real solutions exist.
• Connect vertex form and standard form to graph quickly.
• Use remainder & factor theorems to test roots fast.
• Apply synthetic division structure to simplify polynomial division.
• Build confidence with the “core quadratic toolkit.”

Tip: Discriminant: b² − 4ac tells the story before you solve.