1MA0 Higher November 2016 Paper 2 Q19
19
(a) Expand and simplify \((y + 2)(y + 5)\) (2)
(b) Factorise \(e^2 + e - 12\) (2)
(c) Solve \(3x^2 - x - 1 = 0\)
Give your solutions correct to 2 decimal places. (3)
Give your solutions correct to 2 decimal places. (3)
| Answer | Mark | Notes |
|---|---|---|
| \(y^2 + 7y + 10\) | 2 | M1 for all 4 terms (and no additional terms) correct ignoring signs or 3 terms correct A1 for \(y^2 + 7y + 10\) |
| Answer | Mark | Notes |
|---|---|---|
| \((e - 3)(e + 4)\) | 2 | M1 for \((e \pm 3)(e \pm 4)\) A1 for \((e - 3)(e + 4)\) |
| Answer | Mark | Notes |
|---|---|---|
| 0.77, \(-0.43\) | 3 | M1 for \(\dfrac{--1 \pm \sqrt{(-1)^2 - 4 \times 3 \times -1}}{2 \times 3}\) (condone one sign error) M1 for \(\dfrac{1 \pm \sqrt{13}}{6}\) A1 for one answer in the range 0.767 to 0.77 and one answer in the range \(-0.43\) to \(-0.4343\) |