Algebra › Section I · Quadratic equations and functions › Topic I.2
Completing the square
Some quadratics refuse to factor. Completing the square refuses to be refused — it converts any quadratic into a perfect square plus a leftover, and the square root property finishes the job.
In this topic
- The shape worth becoming
- The completing move
- Worked example: a full solve, step by step
- When the leading coefficient is not 1
- Worked example: fractions welcome
- Vertex form: the same trick, wearing graph clothes
- Why this technique earns its keep
- Common mistakes to avoid
- Key takeaways
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