Date | May 2017 | Marks available | 3 | Reference code | 17M.2.AHL.TZ2.H_11 |
Level | Additional Higher Level | Paper | Paper 2 | Time zone | Time zone 2 |
Command term | State | Question number | H_11 | Adapted from | N/A |
Question
It is given that where and are positive integers.
Given that is a factor of find the value of and the value of .
Factorize into a product of linear factors.
Using your graph state the range of values of for which has exactly two distinct real roots.
Markscheme
* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.
M1A1
A1
A1
[4 marks]
attempt to equate coefficients (M1)
(A1)
A1
Note: Accept any equivalent valid method.
[3 marks]
A1
A1A1
Note: Award A1 for correct end points and A1 for correct inequalities.
Note: If the candidate has misdrawn the graph and omitted the first minimum point, the maximum mark that may be awarded is A1FTA0A0 for seen.
[3 marks]