📐The fast Fourier transform (FFT) is a divide and conquer algorithm used in digital signal processing.

🎵The FFT is the most taught algorithm at MIT and is widely used in applications like MP3 compression.

🔢Polynomials can be represented in different ways, such as coefficient vectors, samples, and roots.

📶The FFT algorithm allows for efficient polynomial multiplication, which is crucial in applications like convolution.

⏰The FFT achieves a time complexity of n log n, significantly better than the quadratic time complexity of traditional polynomial multiplication.