Hits: 62

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/22) | Q#3

Hits: 62   Question The polynomial  is denoted by p(x). i.       Find the quotient when p(x) is divided by  .  ii.       Hence solve the equation  p(x)=0. Solution      i.   Hence quotient is and remainder is .      ii.   We are required to solve; When a polynomial, , is divided by a non-constant […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/23) | Q#7

Hits: 82   Question The polynomial , where a and b are constants, is denoted by . It is given that  when  is divided by  the remainder is 4, and that when  is divided by the remainder is 12. i.       Find the values of  and .    ii.       When a and b have these values, […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/21) | Q#7

Hits: 40   Question The polynomial , where a and b are constants, is denoted by . It is given that  when  is divided by  the remainder is 4, and that when  is divided by the remainder is 12.     i.       Find the values of  and .    ii.       When a and b have these […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/23) | Q#3

Hits: 57 Question The polynomial  is defined by where  is a constant. i.       Given that  is a factor of , find the value of .    ii.       When  has this value,                      a.  Factorise p(x) completely,                     […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/22) | Q#3

Hits: 76   Question i.       Find the quotient when the polynomial   is divided by  ,  and  show that the remainder is 4.    ii.       Hence, or otherwise, factorise the polynomial Solution      i.   Hence quotient is and remainder is .      ii.   We are required to factorise; When a polynomial, , is […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/21) | Q#3

Hits: 91   Question The polynomial  is defined by where  is a constant. i.       Given that  is a factor of , find the value of .    ii.       When  has this value,               a.  Factorise p(x) completely,              b.   Find the remainder when p(x) […]