Horner's rule

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A polynomial f(x)=a0+a1x+a2x2+…+anxn can be written as f(x)=a0+x(a1+x(a2+x(a3+…x (an−1+anx)…)). The method requires fewer multiplications than the standard method of working out each power of x and multiplying by the coefficient.

Subjects: Mathematics.

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