Hits: 41

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Feb-Mar | (P2-9709/22) | Q#6

Hits: 41 Question The polynomial  is defined by where  and  are constants. It is given that  is a factor of and that remainder is 28  when  is divided by .     i.       Find the values of a and b.    ii.       Hence factorise   completely.   iii.       State the number of roots of the equation p(2y) […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Feb-Mar | (P2-9709/22) | Q#3

Hits: 80 Question      i.       Solve the inequality .    ii.       Hence find the largest integer y satisfying the inequality . Solution SOLVING INEQUALITY: PIECEWISE      i.   Let, . We can write it as; We have to consider both moduli separately and it leads to following cases; When If then above four intervals translate […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/23) | Q#5

Hits: 42 Question The polynomial  is defined by where  and  are constants. It is given that  is a factor of . It is also given that the remainder is 40 when  is divided by .     i.       Find the values of a and b.    ii.       When a and b have these values, factorise p(x) […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/22) | Q#4

Hits: 65 Question The polynomials p(x) and g(x) are defined by;  and where a and b are constants. It is given that (x + 3) is a factor of f(x) and also of q(x).     i.       Find the values of a and b.    ii.       Show that the equation q(x) – p(x) = 0 has […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/21) | Q#5

Hits: 31 Question The polynomial  is defined by where  and  are constants. It is given that  is a factor of . It is also given that the remainder is 40 when  is divided by .     i.       Find the values of a and b.    ii.       When a and b have these values, factorise p(x) […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/23) | Q#6

Hits: 31 Question     i.       Use the factor theorem to show that (x+2) is a factor of the expression and hence factorise the expression completely.    ii.       Deduce the roots of the equation Solution      i.   We are given that; We are also given that is a factor of . When a polynomial, , […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/22) | Q#6

Hits: 70 Question     i.       Use the factor theorem to show that (x+2) is a factor of the expression and hence factorise the expression completely.    ii.       Deduce the roots of the equation Solution      i.   We are given that; We are also given that is a factor of . When a polynomial, , […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/21) | Q#2

Hits: 84   Question Solve the inequality . Solution SOLVING INEQUALITY: PIECEWISE Let, . We can write it as; We have to consider both moduli separately and it leads to following cases; When If then above four intervals translate to following with their corresponding inequality; When When When If then above four intervals translate to […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | Oct-Nov | (P2-9709/22) | Q#2

Hits: 173   Question It is given that x satisfies the equation . Find the possible values of Solution SOLVING EQUATION: PIECEWISE Let, . We can write it as; We have to consider two separate cases; When When We have the equation; It  can be written as; We have to consider two separate cases; When […]