Prime DSE Series - Mathematics Mock Exam Papers (Compulsory)(Sixth Edition) Set 2 Paper 1&2

10 HKDSE-MATH-CP (Set 2 P1) Answers written in the margins will not be marked. Answers written in the margins will not be marked. Answers written in the margins will not be marked. © United Prime Educational Publishing (HK) Ltd. 12. It is given that ( ) f x is the sum of two parts, one part varies as x 3 and the other part varies as x 15 + . When ( ) f x is divided by x 1 + , the remainder is - 44. It is known that ( ) f x is divisible by x 3 - . (a) Find ( ) f x . (4 marks) (b) Louis claims that the equation ( ) f x 0 = has only one real root. Do you agree? Explain your answer. (3 marks) Sample © United Prime Educational Publishing (HK) Limited 2025 All rights reserved; no part of this publication may be reproduced, photocopied, recorded or otherwise, without the prior written permission of the Publisher.