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Unattributed TMUA Mock Set B Paper 1 · Q8

Paper 1Functions & graphsNumber & counting

The function ff is given by f(x)=2x3+px2+qx+6f(x)=2x^3+px^2+qx+6, where pp and qq are real constants. When f(x)f(x) is divided by (x+1)(x+1), the remainder is 12. When f(x)f(x) is divided by (x−1)(x-1), the remainder is −6-6. Find the remainder when f(x)f(x) is divided by (2x−1)(2x-1).

A00
B4.54.5
C99
D10.510.5
E1111

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