Recall from Example 7.4 that (p(x), g(x)) = a b + ab + ab defines an...

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Recall from Example 7.4 that (p(x), g(x)) = a b + ab + ab defines an inner product on P[a, b]. Let p(x) = 7 - 2x and g(x) = 1 + x + x. (p(x), g(x)) is the inner product given above Compute the following. (a) (p(x), g(x)) 43 (b) ||p(x) || 83 (c) d(p(x), g(x)) 214 X X Recall from Example 7.4 that (p(x), g(x)) = a b + ab + ab defines an inner product on P[a, b]. Let p(x) = 7 - 2x and g(x) = 1 + x + x. (p(x), g(x)) is the inner product given above Compute the following. (a) (p(x), g(x)) 43 (b) ||p(x) || 83 (c) d(p(x), g(x)) 214 X X