Edexcel Mathematics October 2021 · Paper 1 · Question 9

October 2021 · Paper 1 · Question 9 · 11 marks

$9. f(x) = 50 38 9 52 122 2xx xx++ +() −() x ≠ −2 5 x ≠ 1 2 Given that f( x) can be expressed in the form A xB xC x 52 52 122++ +()+− where A, B and C are constants (a) (i) find the value of B and the value of C (ii) show that A = 0 (4) (b) (i) Use binomial expansions to show that, in ascending powers of x f(x) = p + qx + rx2 + … where p, q and r are simplified fractions to be found. (ii) Find the range of values of x for which this expansion is valid. (7) 27 28 29$

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