| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Verify factor then simplify rational expression |
| Difficulty | Moderate -0.8 This is a straightforward algebraic manipulation question requiring factorisation of a quadratic numerator and difference of two squares in the denominator, followed by cancellation. It's a standard C1 exercise testing basic factorisation skills with no problem-solving element, making it easier than average but not trivial since students must correctly factorise the quadratic trinomial. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
| Answer | Marks |
|---|---|
| 3 | 3x−4 7 |
| Answer | Marks | Guidance |
|---|---|---|
| answer | 3 | M1 for (3x − 4)(x − 1) |
| and M1 for (x + 1)(x − 1) | 3 |
Question 3:
3 | 3x−4 7
or 3− www as final
x+1 x+1
answer | 3 | M1 for (3x − 4)(x − 1)
and M1 for (x + 1)(x − 1) | 3Factorise and hence simplify $\frac{3x^2 - 7x + 4}{x^2 - 1}$. [3]
\hfill \mbox{\textit{OCR MEI C1 Q3 [3]}}