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A-Level MathematicsYear 2021Q8

Turn over 25  Question 8 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 8 is 9 marks) 26   9. f(x) = 50 38 9 5 2 1 2 2 2 x x x x + + + ( ) − ( ) x ≠ −2 5 x ≠ 1 2 Given that f(x) can be expressed in the form A x B x C x 5 2 5 2 1 2 2 + + + ( ) + − where A, B and C are constants (a) (i) find the value of B and the value of C (ii) show that A = 0 (4) (b) (i) Use binomial expansions to show that, in ascending powers of x f(x) = p + qx + rx2 + … where p, q and r are simplified fractions to be found. (ii) Find the range of values of x for which this expansion is valid. (7) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9MA0_01_que_20211007.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)