| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2007 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Type | Simple Algebraic Fraction Simplification |
| Difficulty | Easy -1.3 This is a straightforward C1 question testing basic algebraic manipulation. Part (i) requires simple index law application, and part (ii) involves standard factorisation of difference of squares and a quadratic, followed by routine cancellation. The 'Hence' structure guides students explicitly through the steps, requiring no problem-solving insight beyond textbook exercises. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02j Manipulate polynomials: expanding, factorising, division, factor theorem1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
9 (i) Simplify $3 a ^ { 3 } b \times 4 ( a b ) ^ { 2 }$.\\
(ii) Factorise $x ^ { 2 } - 4$ and $x ^ { 2 } - 5 x + 6$.
Hence express $\frac { x ^ { 2 } - 4 } { x ^ { 2 } - 5 x + 6 }$ as a fraction in its simplest form.
\hfill \mbox{\textit{OCR MEI C1 2007 Q9 [5]}}