Just a couple of polynomials

Algebra Level 3

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

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

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

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