Higher November 2019 Unit 1 Q17
17. Simplify the following expression. [4]
\[\frac{2x^2 - 13x + 20}{2x - 8}\]| Scheme | Marks | Comments |
|---|---|---|
| (Numerator) \((2x - 5)\,(x - 4)\) | B2 | B1 for \((2x \;…..\; 5)\,(x \;…..\; 4)\) |
| (Denominator) \(2\,(x - 4)\) | B1 | |
| \(\dfrac{2x - 5}{2}\) or \(x - \dfrac{5}{2}\) or equivalent. | B1 | Mark final answer. F.T. provided no more than 1 previous error and provided simplification required. |
Alternative method:
| Scheme | Marks | Comments |
|---|---|---|
| (Numerator) \((x - 5/2)\,(2x - 8)\) | B2 | B1 for \((x \;…..\; 5/2)\,(2x \;…..\; 8)\) |
| \(\dfrac{2x - 5}{2}\) or \(x - \dfrac{5}{2}\) or equivalent. | B2 | Mark final answer. F.T. provided at least B1 awarded, no more than 1 previous error and provided simplification required. |