| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Roots of polynomials |
| Type | Factor theorem and finding roots |
| Difficulty | Moderate -0.8 This is a straightforward application of the factor theorem requiring verification by substitution, then polynomial division to find a quadratic, followed by solving a simple quadratic equation. While it's a Further Maths question, it uses only standard techniques with no problem-solving insight required, making it easier than average overall. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
2 Show that $z = 3$ is a root of the cubic equation $z ^ { 3 } + z ^ { 2 } - 7 z - 15 = 0$ and find the other roots.
\hfill \mbox{\textit{OCR MEI FP1 2009 Q2 [5]}}