what is meant by Horner's
formula......???????
Answers
Answer:
In mathematics, the term Horner's rule (or Horner's method, Horner's scheme etc) refers to a polynomial evaluation method named after William George Horner expressed by. This allows evaluation of a polynomial of degree n with only multiplications and additions.
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Answer:
A method for finding roots of a polynomial equation f(x)=0. Now find an equation whose roots are the roots of this equation diminished by r, so
0=f(x+r)=f(r)+xf^'(r)+1/2x^2f^('')(r)+1/3x^3f^(''')(r)+....
(1)
The expressions for f(r), f^'(r), ... are then found as in the following example, where
f(x)=Ax^5+Bx^4+Cx^3+Dx^2+Ex+F.
(2)
Write the coefficients A, B, ..., F in a horizontal row, and let a new letter shown as a denominator stand for the sum immediately above it ...
.