# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | Oct-Nov | (P1-9709/13) | Q#1

Question Find the term, independent of , in the expansion of . Solution First rewrite the given expression in standard form. Expression for the Binomial expansion of  is: In the given case: Hence; The term independent of  i.e coefficient of   ;

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | Oct-Nov | (P1-9709/12) | Q#1

Question i.        Find the first three terms in the expansion, in ascending powers of .    ii.       Find the coefficient  in the expansion of . Solution i.   Expression for the Binomial expansion of  is: First rewrite the given expression in standard form. In the given case: Hence; ii.   To find the coefficient of   in the expansion of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | Oct-Nov | (P1-9709/11) | Q#2

Question In the expansion of  , where  is constant, the coefficient of  is . Find the coefficient of . Solution Expression for the Binomial expansion of  is: In the given case: Hence; We know that coefficient of   is . i.e. The coefficient of   is ;

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | May-Jun | (P1-9709/13) | Q#2

Question i.    Find the first 3 terms, in descending powers of , in the expansion of  .    ii.       Find the coefficient of  in  in the expansion of . Solution i.   First rewrite the given expression in standard form. Expression for the Binomial expansion of  is: In the given case: Hence; ii.   To find the coefficient […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | May-Jun | (P1-9709/12) | Q#6

Question      i.     Find the first 3 terms in the expansion of  in ascending powers of .    ii.       Given that there is no term in  in the expansion of , find the value of the constant .   iii.       For this value of , find the coefficient of  in the expansion of . Solution i.   Expression for […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | May-Jun | (P1-9709/11) | Q#2

Question i.       Find the first 3 terms in the expansion of  in descending powers of .    ii.       Hence find the coefficient of  in the expansion of . Solution i.   First rewrite the given expression in standard form. Expression for the Binomial expansion of  is: In the given case: Hence; ii.   To find the value of   in the expansion of […]