1 How Would You Improve The Simple Evaluate Multiply Interpolate Algorithm For Multi 2538347

1. How would you improve the simple evaluate-multiply-interpolate algorithm for multiplying together two polynomials p() and q() with known roots

2.  a set of N real numbers at which a polynomial of degree N can be evaluated using substantially fewer than N2 operations.

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3. Find .a set of N real numbers at which a polynomial of degree N can be interpolated using substantially fewer than N2 operations.