Higher January 2022 Paper 2 Q1
1
(a) Expand and simplify \((y + 4)(2 - y)\) (2)
(b) Factorise fully \(15b^5c - 35b^3c^9\) (2)
| Scheme | Marks |
|---|---|
| \(2y - 4y + 8 - y^2\) | M1 |
| \(8 - 2y - y^2\) | A1 |
| (2) |
Notes
M1: for 3 correct terms or
for 4 correct terms ignoring signs
or
\(\ldots - 2y - y^2\) or
\(8 - 2y - \ldots\)
A1: Any order but simplified
| Scheme | Marks |
|---|---|
| \(5b^3c(3b^2 - 7c^8)\) | B2 |
| (2) | |
| (4 marks) |
Notes
B2: fully correct or
B1 for a correct partial factorisation with at least two terms outside the bracket eg \(5b^3(3b^2c - 7c^9)\) or \(5c(3b^5 - 7b^3c^8)\) etc
or the fully correct factor outside the bracket with a two term expression in terms of \(b\) and \(c\) inside the bracket eg \(5b^3c(15b^2 - c^8)\)