# (17 pts) If f (x) and g( w) are arbitrary polynomials of degree at most 2, then the mapping f.g

###### Question:

(17 pts) If f (x) and g( w) are arbitrary polynomials of degree at most 2, then the mapping f.g >= f(-3)9(-3) + f(0)g(0) + f(3)9(3) defines an inner product in Pz: Use this inner product to find f.g >, Ilfll; Ilgll and the angle @ f.g between f (x) and g(x) for f(r) 412 + 31 + 2and g(w) = 4r2 21 + 6. < f.9 >= Ilfll Ilgll 1,9

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