If p(x) and g(x) are arbitrary polynomials of degree at most 2, then the mapping <...
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If p(x) and g(x) are arbitrary polynomials of degree at most 2, then the mapping < p, q>= p(-1)q(-1) + p(0)q(0) + p(3)q(3) defines an inner product in P3- Use this inner product to find < p, q>. ||p|| ||g||, and the angle between p(x) and g(x) for p(x) = 3x² +8 and g(x) = 3x² - 6x. < P, q ||p|| ||g|| = = = radians. If p(x) and g(x) are arbitrary polynomials of degree at most 2, then the mapping < p, q>= p(-1)q(-1) + p(0)q(0) + p(3)q(3) defines an inner product in P3- Use this inner product to find < p, q>. ||p|| ||g||, and the angle between p(x) and g(x) for p(x) = 3x² +8 and g(x) = 3x² - 6x. < P, q ||p|| ||g|| = = = radians.
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