Just a couple of polynomials

Algebra Level 3

PP and QQ are two distinct, non-constant polynomial functions such that (PQ)(x)=P(x)Q(x)(P\circ Q)(x) = P(x)Q(x) and P(1)=P(1)=2018.P(1) = P(-1) = 2018.

Find (QP)(1).(Q\circ P)(-1).

Note: Function composition (PQ)(x)(P\circ Q)(x) is sometimes denoted as P(Q(x)).P\big(Q(x)\big).

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