Higher November 2023 Paper 3 Q18
18 Simplify \(\quad \dfrac{2(x + 4)^5}{(x + 4)^3}\)
Give your answer in the form \(\quad ax^2 + bx + c \quad\) where \(a\), \(b\) and \(c\) are integers. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((x + 4)^2\) or \(2(x + 4)^2\) with no denominator seen | M1 | |
| \(x^2 + 4x + 4x + 16\) with three terms correct or \(x^2 + 8x + k\) where \(k\) is a non-zero constant | M1 | implied by \(2x^2 + 8x + 8x + 32\) with three terms correct or \(2x^2 + 16x + k\) where \(k\) is a non-zero constant ignore any denominator |
| \(2x^2 + 16x + 32\) | A1 |
Additional guidance
| Do not award A mark if a correct answer is subsequently divided by 2 | |
| \((x + 4)^2 = x^2 + 16\) | M1M0A0 |