Hits: 203

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2007 | Oct-Nov | (P2-9709/02) | Q#5

Hits: 203   Question The polynomial , where a is a constant, is denoted by . It is given that  is a factor of .     i.       Find the value of  .    ii.       When  has this value, solve the equation . Solution      i.  We are given that;    We are also […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2007 | May-Jun | (P2-9709/02) | Q#4

Hits: 136    Question The polynomial , where a and b are constants, is denoted by . It is given that   is a factor of , and that when  is divided by    the remainder is −20. i.       Find the values of  and . ii.       When  and  have these values, find the remainder […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | January | Q#10

Hits: 34   Question a.   On the same axes sketch the graphs of the curves with equations i.       y=x2(x –2), ii.     y=x(6 –x), and indicate on your sketches the coordinates of all the points where the curves  cross the x-axis. b.   Use algebra to find the coordinates of the points where the graphs intersect. Solution a.     […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | June | Q#6

Hits: 71   Question a.   The polynomial f(x) is given by  .                                                i.    Use the Factor Theorem to show that (x-1) is a factor of f(x).                                               ii.    Express f(x) in the form  , where p and q are integers.                                             iii.    Hence show that the equation f(x)=0 has exactly one real root and state its value. b.   The curve with equation  is […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | January| Q#1

Hits: 39   Question The polynomial  is given by where k is a constant.   a.           i.       Given that  is a factor of , show that .              ii.       Express   as the product of three linear factors. b.   Use the Remainder Theorem to find the remainder when  is divided by . c.   Sketch […]