Fft polynomial multiplication

1. What does FFT do to a polynomial?
2. Can you multiply polynomial functions?
3. What is the time complexity of polynomial multiplication?

What does FFT do to a polynomial?

Thus, by using the FFT and the inverse FFT, we can transform a polynomial of degree-bound n back and forth between its coefficient representation and a point-value representation in time (n lg n).

Can you multiply polynomial functions?

Multiplying polynomials require only three steps. First, multiply each term in one polynomial by each term in the other polynomial using the distributive law. Add the powers of the same variables using the exponent rule. Then, simplify the resulting polynomial by adding or subtracting the like terms.

What is the time complexity of polynomial multiplication?

In order to multiply two polynomial , we need O(n^2) complexity.