what is horner's method of synthetic division?

Asked by  | 23rd Jun, 2008, 08:41: PM

Expert Answer:

Horner's method

Horner's method, for finding a root of a polynomial equation, is an iterative sequence of translations to place the root at the origin. Then, the sum of these translations is the root of the original equation.

Then, we would employ synthetic division to reduce the equation by this root. Re-standardize the equation, and look for the next root. Sometimes, we skip the re-standardization step. Doing so is a mater of judgment.

While Horner's method is well-suited to hand-calculation, it becomes very tedious as the degree of the polynomial equation increases or if we are in the complex (rather than real) field.

Answered by  | 4th Aug, 2008, 09:18: AM

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