Horner's rule

(mathematics, computing theory) The rule stating that a polynomial of degree n can be (optimally) evaluated with only n multiplications and n additions: a_0+a_1x+a_2x²+a_3x³+⋯+a_nxⁿ\=a_0+x bigg (a_1+x Big (a_2+x big (a_3+⋯+x(a_n-1+x,a_n)⋯ big ) Big ) bigg ).