Fr.: multiplication imbriquée
A method in the evaluation of polynomials which involves fewer basic operations and allows simpler computation, especially for polynomials of high degree. More specifically, the polynomial P(x) = a0 + a1x + a2x2 + a3x3 + ... + anxn can be written in the nested form as: P(x) = a0 + x(a1 + x(a2 + ... + x(an - 1 + anx) ...)). For example, the polynomial P(x) = x3 - 5x2 + 10x - 3 has the following nested form: P(x) = ((x - 5)x + 10)x - 3. Same as the → Ruffini-Horner method.