Hits: 423

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2010 | Oct-Nov | (P2-9709/23) | Q#3

Hits: 423   Question The polynomial x3 + 4×2 + ax + 2, where a is a constant, is denoted by p(x). It is given that the  remainder when p(x) is divided by (x + 1) is equal to the remainder when p(x) is divided by (x − 2).     i.       Find the value […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2010 | Oct-Nov | (P2-9709/22) | Q#7

Hits: 78   Question The polynomial , where  and  are constants, is denoted by . It is given that   is a factor of , and that when  is divided by  the remainder is 10. i.       Find the values of a and b.    ii.       When a and b have these values, solve the […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2010 | Oct-Nov | (P2-9709/21) | Q#7

Hits: 79   Question The polynomial , where  and  are constants, is denoted by . It is given that   is a factor of , and that when  is divided by the remainder is 10.  i.       Find the values of a and b.    ii.       When a and b have these values, solve the […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2010 | May-Jun | (P2-9709/23) | Q#7

Hits: 62   Question The polynomial , where a and b are constants, is denoted by . It is given that when  is divided by  the remainder is 30, and that when  is divided by  the remainder is 18. i.       Find the values of  and .    ii.       When a and b have […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2010 | May-Jun | (P2-9709/22) | Q#7

Hits: 157   Question The polynomial , where a and b are constants, is denoted by . It is given that when  is divided by  the remainder is 30, and that when  is divided by  the remainder is 18. i.       Find the values of  and .    ii.       When a and b have […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2010 | May-Jun | (P2-9709/21) | Q#4

Hits: 173    Question The polynomial  is denoted by . i.       Find the quotient and remainder when  is divided by .    ii.       Use the factor theorem to show that  is a factor of . Solution      i.   Hence quotient is and remainder is .    ii.   We are given that; […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#10

Hits: 88   Question a.   On the axes below sketch the graphs of                                     i.       y = x (4 – x)                                    ii.       y = x2 (7 – x) showing clearly the coordinates of the points where the curves cross the coordinate axes. b.   Show that the x-coordinates of the points of intersection of y = x (4 – x) and […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | January | Q#9

Hits: 65   Question a)   Factorise completely x3 – 4x b)  Sketch the curve C with equation y = x3 – 4x showing the coordinates of the points at which the curve meets the x-axis. The point A with x-coordinates -1 and the point B with x-coordinate 3 lie on the curve C. c)   Find an equation of the […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | June | Q#3

Hits: 65   Question The polynomial  is given by a.                                i.       Use the Factor Theorem to show that  is a factor of .                          ii.       Express  as the product of three linear factors. b.   Use the Remainder Theorem to find the remainder when  is divided by . c.                                i.       Verify that .                       […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | January | Q#1

Hits: 52   Question The polynomial  is given by  . a.   Use the Factor Theorem to show that  is a factor of . b.   Express  as the product of three linear factors. Solution a.   Factor theorem states that if  is a factor of   then; For the given case  is factor of . We can write the factor in standard form as; Here […]