# Question 5 (20 points) Suppose that V = P4[x] (i.e, the space of all poly- nomials...

###### Question:

Question 5 (20 points) Suppose that V = P4[x] (i.e, the space of all poly- nomials of degree 4 or less) is equipped with the inner product defined by (p, q) = | p(x)q(xdx for p, q E PA[2], If p = 2x2 - 1 and q = 3x + 2, then find a basis for {p,q}- where {p,9}denotes the set of all vectors in V which are orthogonal (perpendicular) to both p and q.

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