# 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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