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tmua.co.uk TMUA Mock Paper 1 · Q2

Paper 1Number & counting

Let P(x)P(x) be defined by:

P(x)=x2027−4x2026+6.P(x)=x^{2027}-4x^{2026}+6.

When P(x)P(x) is divided by x2−1x^2-1, the remainder is R(x)=ax+bR(x)=ax+b. What is R(x)R(x)?

A(x+2)(x+2)
B(x−2)(x-2)
C(−x+2)(-x+2)
D(2x+1)(2x+1)

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