Higher June 2024 Paper 1 Q20
20
\[5x^3 + ax^2 + bx + c \equiv kx^3 + (2 - k)x^2 + (a^2 - 1)x + \dfrac{b}{2}\]Work out the values of \(a\), \(b\) and \(c\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(a = -3\) | B1 | |
| 8 or (their \(-3)^2 - 1\) correctly evaluated | B1ft | |
| 4 or their \(8 \div 2\) correctly evaluated | B1ft |
Additional guidance
| \(a = -3 \quad b = -10 \quad c = -5\) | B1B0B1ft |