Core Mathematics C2 Advanced Subsidiary
Tuesday 10 January 2006 Afternoon Time: 1 hour 30 minutes
Materials required for examination Mathematical Formulae (Green) Items included with question papers Nil
Candidates may use any calculator EXCEPT those with the facility for symbolic algebra, differentiation and/or integration. Thus candidates may NOT use calculators such as the Texas Instruments TI 89, TI 92, Casio CFX 9970G, Hewlett Packard HP 48G.
Instructions to Candidates In the boxes on the answer book, write the name of the examining body (Edexcel), your centre number, candidate number, the unit title (Core Mathematics C2), the paper reference (6664), your surname, other name and signature. When a calculator is used, the answer should be given to an appropriate degree of accuracy. Information for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. Full marks may be obtained for answers to ALL questions. The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2). There are 9 questions on this paper. The total mark for this paper is 75. Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit.
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1. Given that f(1) = 0,
f(x) = 2x3 + x2 – 5x + c, where c is a constant.
(a) find the value of c, (2) (b) factorise f(x) completely, (4) (c) find the remainder when f(x) is divided by (2x – 3). (2) 2. (a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of (1 + px)9, where p is a constant. (2) The first 3 terms are 1, 36x and qx2, where q is a constant. (b) Find the value of p and the value of q. (4)
3. y B