Higher November 2021 Paper 2 Q8
8
(a) Simplify \((3x^2y)^0\) (1)
(b)
(i) Factorise \(x^2 - 5x - 36\) (2)
(ii) Hence solve \(x^2 - 5x - 36 = 0\) (1)
| Scheme | Marks |
|---|---|
| 1 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \((x \pm 4)(x \pm 9)\ (= 0)\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \((x + 4)(x - 9)\) | A1 |
| (2) |
Notes
M1: or \((x + a)(x + b)\) where \(ab = -36\) or \(a + b = -5\)
A1: (isw if they also solve the equation in this part)
| Scheme | Marks |
|---|---|
| Answers must ft from (b)(i) Answer: −4 and 9 | B1ft |
| (1) | |
| (4 marks) |
Notes
B1ft: Answer must ft from their \((x + p)(x + q)\) in (b)(i)
Award B0 for −4 and 9 if no marks scored in (i)