Higher November 2017 Paper 3 Q18
18 Expand and simplify \(\quad (3x^2 + 2)(2x + 5) - 6x(x^2 - 3)\) [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(-6x^3 + 18x\) or \((-)(6x^3 - 18x)\) | B1 | |
| \(6x^3 + 15x^2 + 4x + 10\) | M1 | Allow one error |
| \(6x^3 + 15x^2 + 4x + 10 - 6x^3 + 18x\) | A1ft | oe ft B0M1 only |
| \(15x^2 + 22x + 10\) | A1ft | ft their 6 terms if at least M1 scored Do not ignore fw |
Additional guidance
| \(-6x^3 - 18x\) \(6x^3 + 15x^2 + 4x + 10\) \(6x^3 + 15x^2 + 4x + 10 - 6x^3 - 18x\) \(15x^2 - 14x + 10\) | B0 M1 A1ft A1ft |
| \(-6x^2 - 18x\) \(6x^2 + 15x^2 + 4x + 10\) \(6x^2 + 15x^2 + 4x + 10 - 6x^2 - 18x\) \(15x^2 - 14x + 10\) | B0 M1 A1ft A1ft |
| \(-6x^2 + 18x\) \(6x^2 + 15x^2 + 4x + 10\) \(6x^2 + 15x^2 + 4x + 10 - 6x^2 + 18x\) \(15x^2 + 22x + 10\) | B0 M1 A1ft A1ft |
| \(-6x^3 + 18x\) \(6x^3 + 15x^2 + 4x + 7\) \(6x^3 + 15x^2 + 4x + 7 - 6x^3 + 18x\) \(15x^2 + 22x + 7\) | B1 M1 A0 A1ft |