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( 3 points) Suppose that you want to multiply two polynomials x 1 and 3 x^2 4 using the Fourier transform. Choose an appropriate power of 2, find the Fourier transform of the two coefficient sequences, multiply the results componentwise, and compute the inverse Fourier transform to get the final result.Remark. You may compute the Fourier transform by direct matrix multiplication rather than doing so by calling smaller Fourier transforms recursively.
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