4MA0 Higher June 2013 Paper 3R Q7
7 \(M = 3x^2 - nx\)
(a) Work out the value of \(M\) when
\(x = -2\) and \(n = 5\) (2)
\(x = -2\) and \(n = 5\) (2)
(b) Work out the value of \(n\) when
\(M = 12\) and \(x = 4\) (3)
\(M = 12\) and \(x = 4\) (3)
| Scheme | Marks |
|---|---|
| \(3 \times (-2)^2 - (5 \times -2)\) or \(3(-2)^2 - 5(-2)\) or \(3 \times (-2)^2 - 5 \times -2\) or 3 x 4 − 5 x −2 | M1 |
| 22 | A1 |
| (2) |
Notes
M1: or 12 − − 10 or 12 + 10 or 12 and −10
A1: cao
| Scheme | Marks |
|---|---|
| \(12 = 3 \times 4^2 - 4n\) | M1 |
| \(4n = 48 - 12\) oe | M1 |
| 9 | A1 |
| (3) |
Notes
A1: cao
or M2 for 48 − 12 or 36
A1 cao