examday

Official papers

Official 2016 Paper 1 · Q19

Paper 1Algebra

The coefficient of x3x^3 in the expansion of (1+2x+3x2)6(1+2x+3x^2)^6 is equal to twice the coefficient of x4x^4 in the expansion of (1−ax2)5(1-ax^2)^5.

Find all possible values of the constant aa.

A±22\pm2\sqrt{2}
B±17\pm\sqrt{17}
C±34\pm\sqrt{34}
D±217\pm2\sqrt{17}
EThere are no possible values of aa.

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 →