| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2008 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Completing the square and sketching |
| Type | Find quadratic from roots/properties |
| Difficulty | Moderate -0.8 This is a straightforward algebraic manipulation question requiring students to expand the right-hand side and equate coefficients. It's more routine than average A-level questions since it only tests one technique (coefficient comparison) with no problem-solving or application required, though it does require careful algebraic handling of three unknowns. |
| Spec | 1.02e Complete the square: quadratic polynomials and turning points |
3 Given that $3 x ^ { 2 } + b x + 10 = a ( x + 3 ) ^ { 2 } + c$ for all values of $x$, find the values of the constants $a , b$ and $c$.
\hfill \mbox{\textit{OCR C1 2008 Q3 [4]}}