examday

Community mocks

Rosie's Papers Set A Paper 1 · Q19

Paper 1Number & countingAlgebra

A polynomial P(x)P(x) leaves a remainder of 3 when divided by (x−1)(x-1), and a remainder of −1-1 when divided by (x+3)(x+3). Let R(x)R(x) be the remainder when P(x)P(x) is divided by the quadratic expression (x−1)(x+3)(x-1)(x+3). Which of the following expressions is equal to R(x)R(x)?

A2x+12x+1
Bx+2x+2
Cx−2x-2
D−x+4-x+4
E2x−12x-1

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →