| Date | May 2014 | Marks available | 5 | Reference code | 14M.1.hl.TZ1.1 |
| Level | HL only | Paper | 1 | Time zone | TZ1 |
| Command term | Find | Question number | 1 | Adapted from | N/A |
Question
When the polynomial \(3{x^3} + ax + b\) is divided by \((x - 2)\), the remainder is 2, and when divided by \((x + 1)\), it is 5. Find the value of a and the value of b.
Markscheme
\(P(2) = 24 + 2a + b = 2,{\text{ }}P( - 1) = - 3 - a + b = 5\) M1A1A1
\((2a + b = - 22,{\text{ }} - a + b = 8)\)
Note: Award M1 for substitution of 2 or −1 and equating to remainder, A1 for each correct equation.
attempt to solve simultaneously M1
\(a = - 10,{\text{ }}b = - 2\) A1
[5 marks]
Examiners report
[N/A]
