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Now let us practice the polynomial multiplication by FFT. Suppose that you want to multiply the two polynomials 1 + x + 2x^(2) and 2

Now let us practice the polynomial multiplication by FFT. Suppose that you want to multiply the two polynomials 1 + x + 2x^(2) and 2 + 3x using the FFT. Choose an appropriate power of two, find the FFT of the two polynomials, and then multiply the results componentwise. You only need to give the value representation form for the resulting polynomial (i.e. you do not need to perform interpolation to obtain the coefficient representation).

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