Hits: 32

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Feb-Mar | (P2-9709/22) | Q#1

Hits: 32 Question Find the quotient and the remainder when is divided by . Solution Quotient; Remainder; 6

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Oct-Nov | (P2-9709/23) | Q#4

Hits: 58 Question The polynomial is defined by  where  is a constant. It is given that  is a factor of     i.       Use the factor theorem to find the value of .    ii.       Factorise p(x) and hence show that the equation p(x) = 0 has only one real root.   iii.       Use […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Oct-Nov | (P2-9709/22) | Q#4

Hits: 103 Question The polynomial is defined by  where is a constant.     i.       Use the factor theorem to show that (x +1) is a factor of p(x) for all values of a.    ii.       Given that the remainder is −42 when p(x) is divided by (x −2), find the value of a.    iii. […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Oct-Nov | (P2-9709/21) | Q#7

Hits: 65 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 18 when  is divided by .     i.       Find the values of a and b.    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 2016 | May-Jun | (P2-9709/23) | Q#2

Hits: 120   Question i.       Find the quotient and remainder when  is divided by .    ii.       Hence find the values of the constants p and q such that x2 − 2x + 5 is a factor of 2×3 − 7×2 + px + q. Solution      i.   Hence quotient is and […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | May-Jun | (P2-9709/22) | Q#2

Hits: 219   Question i.       Find the quotient and remainder when  is divided by .    ii.       Hence find the values of the constants p and q such that x2 − 2x + 5 is a factor of 2×3 − 7×2 + px + q. Solution      i.   Hence quotient is and […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | May-Jun | (P2-9709/21) | Q#4

Hits: 211   Question The polynomial  is defined by i.       Find the quotient when  is divided by ,  and show that the remainder is 5.    ii.       Hence factorise  completly. Solution      i.   Hence quotient is and remainder is .      ii.   We are required to factorise; When a polynomial, […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2016 | June | Q#4

Hits: 31   Question The polynomial  is given by . a.                                i.       Use the Factor Theorem to show that  is a factor of .                          ii.      Express  as a product of three linear factors. b.                                i.       Use Remainder Theorem  to find the remainder when  is divided by .                          ii.       Express  in the form , where b and c are integers. Solution a.                               i. […]