# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | Oct-Nov | (P1-9709/13) | Q#3

Question      i.       Find the term independent of x in the expansion of .    ii.       Find the value of a for which there is no term independent of x in the expansion of Solution i.   Expression for the general term in the Binomial expansion of  is: For the given case: Hence; Since we are looking for the coefficient […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | Oct-Nov | (P1-9709/12) | Q#1

Question Find the term independent of x in the expansion of . Solution Expression for the general term in the Binomial expansion of  is: For the given case: Hence; Since we are looking for the coefficient of the term independent of  i.e. , so we can  equate Hence, substituting ; Becomes; Hence coefficient of the term independent of  i.e.  is .

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | May-Jun | (P1-9709/13) | Q#1

Question The coefficients of  and  in the expansion of  are equal. Find the value of the non-zero  constant a. Solution We need to equate the coefficients of  and  in the expansion of given expression.  We are given expression as; Expression for the general term in the Binomial expansion of  is: In the given case: Hence; Since we are looking for the coefficients […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | May-Jun | (P1-9709/12) | Q#1

Question      i.       Find the coefficient of x in the expansion of .    ii.       Hence find the coefficient of x in the expansion of . Solution      i.   We are required to find the coefficient  of  in the expansion of given expression. We are given expression as; Expression for the general term in the Binomial expansion of  is: First rewrite […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | Feb-Mar | (P1-9709/12) | Q#2

Question In the expansion of , the coefficient of x is 5. Find the value of the constant a. Solution We are given expression as; Expression for the general term in the Binomial expansion of  is: In the given case: Hence; Since we are looking for the terms with  i.e. we can  equate; Now we can find the term with; Substituting ; […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | May-Jun | (P1-9709/11) | Q#1

Question The coefficients of  and  in the expansion of  are  and  respectively. Find the value  of . . Solution We can find the coefficients of  and  in the expansion of given expression.  Let us first find the coefficient of  in the expansion of . We are given expression as;  Expression for the general term in the Binomial expansion of  is: First rewrite the […]