Higher June 2017 Paper 1 Q10
10 Show that \((x + 1)(x + 2)(x + 3)\) can be written in the form \(ax^3 + bx^2 + cx + d\) where \(a\), \(b\), \(c\) and \(d\) are positive integers. (3)
| Answer | Mark | Notes |
|---|---|---|
| \(x^3 + 6x^2 + 11x + 6\) | M1 | for method to find the product of any two linear expressions (3 correct terms) e.g. \(x^2 + x + 2x + 2\) or \(x^2 + 2x + 3x + 6\) or \(x^2 + x + 3x + 3\) |
| M1 | for method of multiplying out remaining products, half of which are correct (ft their first product) e.g. \(x^3 + x^2 + 2x^2 + 3x^2 + 2x + 3x + 6x + 6\) | |
| A1 | cao |