Question: Determine if W = {a,+ ax + ax + ax = P|a + a + a + a = 0} is a vector subspace

Determine if W = {a,+ ax + ax + ax = P|a 

Determine if W = {a,+ ax + ax + ax = P|a + a + a + a = 0} is a vector subspace of P. You must justify your answer in order to receive credit.

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