Numerical Methods20795 marksNumerical: Horner's method evaluationHorner's method for polynomial evaluation
Write an algorithm for Honer's method. Evaluate the polynomial f(x) = x4 + 3x3 + 5x2 + 7x + 9 at x = 2 by using Honer's method.
Write an algorithm for Honer's method. Evaluate the polynomial $f(x) = x^4 + 3x^3 + 5x^2 + 7^x + 9$ at x = 2 by using Honer's method. [5]
Polynomial: $f(x) = x^4 + 3x^3 + 5x^2 + 7x + 9$ (Note: the source text shows "$7^x$", but from the pattern of a standard 4th-degree polynomial this is clearly a typo for the linear term $7x$.) Coefficients (highest to lowest degree): Degree 4 3 2 1 0 ----------------------- $ai$ 1 3 5 7 9 Evaluat...