Show that $W \subset\text{span}\{1, x^2 , −3x + x^3 , x^4 , −5x + x^5 \}$ and that $\text{span} \{1, x^2 , −3x + x^3 , x^4 , −5x + x^5 \}\subset W$.

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Given that $W = \{p ∈ \Pi_5(\Omega) \mid p'(−1) + p'(1) = 0\}$. Please help I'm really stuck on this question. I have no clue how to do it. All I know is that I need to multiply by constants.

I would really really appreciate your help.