Hits: 231

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2009 | May-Jun | (P2-9709/02) | Q#8

Hits: 231     Question a)   Find the equation of the tangent to the curve at the point where . b)                  i.       Find the value of the constant A such that           ii.       Hence show that Solution a.     We are given that curve with […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2009 | Oct-Nov | (P2-9709/22) | Q#5

Hits: 235   Question The polynomial , where a is a and b are constants, is denoted by . It is given that  and (x − 2) are factors of p(x). i.       Find the values of a and b.    ii.       When a and b have these values, find the other linear factor […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2009 | Oct-Nov | (P2-9709/21) | Q#3

Hits: 126   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, factorise  completely. Solution      i.  We are given that;    We are also given that is a factor of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2009 | May-Jun | (P2-9709/02) | Q#6

Hits: 163    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 4. i.       Find the values of  and . ii.       When  and  have these values, find the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | June | Q#10

Hits: 22   Question a)   Factorise completely x3 – 6×2 + 9x b)  Sketch the curve with equation y = x3 – 6×2 + 9x showing the coordinates of the points at which the curve meets the x-axis. Using your answer to part (b), or otherwise, c)   (c) sketch, on a separate diagram, the curve with equation y […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#8

Hits: 31   Question The point P (1, a) lies on the curve with equation y = (x + 1)2(2– x). a.   Find the value of a. b.   On the axes below sketch the curves with the following equations: i.       y = (x + 1)2(2– x) ii.        On your diagram show clearly the coordinates of any […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2009 | June | Q#4

Hits: 59   Question a.  The polynomial  is given by                     i.       Find the remainder when  is divided by .                   ii.       Use the Factor Theorem to show that  is a factor of .                  iii.       Express  in the form  , where b and c are integers.               iv.       The equation  has one root equal to -2. Show that equation has no other […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2009 | January | Q#6

Hits: 57   Question a.  The polynomial  is given by .                     i.       Use the Factor Theorem to show that  is a factor of .                   ii.       Express  in the form  , where a and b are constants. b. The curve C with equation  , sketched below, crosses the x-axis at the point .                     i.       Find the gradient of the curve C at the point Q.                   ii.       Hence […]