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

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 sketched below. The […]

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

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 the curve […]