| Date | None Specimen | Marks available | 6 | Reference code | SPNone.2.hl.TZ0.1 |
| Level | HL only | Paper | 2 | Time zone | TZ0 |
| Command term | Find | Question number | 1 | Adapted from | N/A |
Question
Given that (x − 2) is a factor of f(x)=x3+ax2+bx−4 and that division f(x) by (x − 1) leaves a remainder of −6 , find the value of a and the value of b .
Markscheme
f(2)=8+4a+2b−4=0 M1
⇒4a+2b=−4 A1
f(1)=1+a+b−4=−6 M1
⇒a+b=−3 A1
solving, a=1, b=−4 A1A1
[6 marks]
Examiners report
[N/A]
