Hits: 69

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/23) | Q#4

Hits: 69   Question i.       The polynomial , where a is a and b are constants, is denoted by . It is given that when p(x) is divided by (x – 3) the remainder is 14, and that when p(x)  is divided by (x +  2) the remainder is 24. Find the values of a […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/22) | Q#4

Hits: 43 Question i.       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). Find the values of a and b.  ii.       When a and b have these values, factorise p(x) completely. Solution      i.   We are […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/21) | Q#4

Hits: 61 Question     i.       The polynomial , where a is a and b are constants, is denoted by . It is  given that when p(x) is divided by (x – 3) the remainder is 14, and that when p(x)  is divided by (x +  2) the remainder is 24. Find the values of a […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | May-Jun | (P2-9709/23) | Q#4

Hits: 41   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 8. i.       Find the values of a and b. ii.       When a and b have these values, factorise p(x) completely. […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | May-Jun | (P2-9709/22) | Q#3

Hits: 215   Question    i.       The polynomial , where  is a constant, is denoted by . It is given that   is a factor of . Find the value of .    ii.       When  has this value, find the remainder when  is divided by . Solution      i.  We are given that; We […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | May-Jun | (P2-9709/21) | Q#4

Hits: 115   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 8. i.       Find the values of a and b. ii.       When a and b have these values, factorise p(x) completely. […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#9

Hits: 214   Question Figure 1 shows a sketch of the curve C with equation y = f(x). The curve C passes through the point (-1,0) and touches the x-axis at the point (2,0). The curve C has a maximum at the point (0,4). a.   The equation of the curve C can be written in the form Where […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2013 | January | Q#1

Hits: 15   Question Factorise completely Solution We are given;

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2013 | June | Q#4

Hits: 76   Question a.   The polynomial f(x) is given by .                     i.       Use the Factor Theorem to show that x+3 is a factor of f(x).                   ii.       Express f(x) in the form  , where p and q are integers. b.   A curve has equation .                     i.       Find .                   ii.       Show that the x-coordinates of any stationary points of the curve satisfy the equation […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2013 | January | Q#5

Hits: 57   Question The polynomial  is given by a.   Use the Remainder Theorem to find the remainder when  is divided by x+1. b.                         i.       Use the Factor Theorem to show that x-3 is a factor of .                   ii.       Express  as a product of linear factors. c.   Sketch the curve with equation  , stating the values of where the curve […]