Higher June 2023 Paper 2R Q1
1 \(P = m^2 - 4c\)
(a) Work out the value of \(P\) when \(m = -5\) and \(c = 3\) (2)
(b) Expand and simplify \(\;(x + 5)(x - 7)\) (2)
| Scheme | Marks |
|---|---|
| 25 ± ……. or ……. – 12 or \((-5)^2 - 4 \times 3\) or \((-5)^2 - 4(3)\) or \(-5 \times -5 - 4 \times 3\) or \(-5 \times -5 - 4(3)\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 13 | A1 |
| (2) |
Notes
M1: for either 25 or \(-12\) in the correct place or the correct substitution shown with brackets around \(-5\)
A1: (M0A0 for \(-37\) without any working)
| Scheme | Marks |
|---|---|
| \(x^2 + 5x - 7x - 35\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \(x^2 - 2x - 35\) | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for any 3 correct terms or for 4 out of 4 correct terms ignoring signs or
for \(x^2 - 2x \ldots\) or
for \(\ldots -2x - 35\)
A1: oe
Ignore solutions/roots if correct expansion seen