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**1. Homework Statement**

Find basis and dimension of [itex]V,W,V\cap W,V+W[/itex] where [itex]V=\{p\in\mathbb{R_4}(x):p^{'}(0) \wedge p(1)=p(0)=p(-1)\},W=\{p\in\mathbb{R_4}(x):p(1)=0\}[/itex]

**2. Homework Equations**

-Vector spaces

**3. The Attempt at a Solution**

Could someone give a hint how to get general representation of a vector in [itex]V[/itex] and [itex]W[/itex]?