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tmua.me Extreme Set A Paper 1 · Q1

Paper 1Algebra

A polynomial P(x)P(x) of degree 33 has three distinct real roots aa, bb and cc. It is given that

P(a+b)=P(b+c)=P(c+a)=4P(a+b)=P(b+c)=P(c+a)=4

and that P(1)=−1P(1)=-1.

What is the value of P(−1)P(-1)?

A−5-5
B−3-3
C11
D33
E55
F99

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