Describe the Horner algorithm of evaluating a polynomial's value. Why is it better than other methods? (b) Use the Horner algorithm to compute f(−1)f(−1) for f(x)=2x4−x3+3x2−5x−2f(x)=2x4−x3+3x2−5x−2

Describe the Horner algorithm of evaluating a polynomial's value. Why is it better than other methods? (b) Use the Horner algorithm to compute f(−1)f(−1) for f(x)=2x4−x3+3x2−5x−2f(x)=2x4−x3+3x2−5x−2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A secret code has been embedded into a polynomial function f(x). The code has 5 digits that are arranged from least to greatest. The digits are the zeroes of f(x). A spy overheard that two of the digits are 1 and 8. If f(æ) = x7 – 18x6 + 118x5 – 414x4 + 1141æ³ – 2268x² + 1440x , factor f(x) to find the code. - Enter the 5 digit code. Type answer here. Be careful with spelling.
Divide the polynomials using SYNTHETIC DIVISION. Express your answer as P(x) = D(x) Q(x) + R %3D
Use synthetic division and the Remainder Theorem to find f (-1) if ƒ (æ) = 2x* – 3r² + 5 f(-1)%3D
Match each of the following polynomial with whether it is even, odd or neither. - - P(x) = 3x*- 5x² + 1 A. Odd B. Neither odd, nor even v P(x) = 2x5 – 8x C. Even v P(x) = 2x - 8x +5
47: For what value of k will the polynomial function f(x)=x² +6x² + kx – 4 have the same remainder when divided by (x-1) and (x+2)
Consider the polynomial defined by p(x) = (x − a)(x − b) ... (x − z). a. How many additions and multiplications are involved in this calculation? Explain. b. Calculate p(7).
(b) The following list shows some values obtained from a polynomial of degree four for a particular experiment. One value is suspected to have an error. Draw a difference table and identify the erroneous value and its true value. 18, 19, 34, 99, 256, 643, 1314, 2419, 4114 The value with an error is The true value must be
Q2. (a) Compare and contrast the following four interpolated polynomials. Lagrange Polynomial. (i) (ii) Newton Divided-Difference Polynomial. (iii) Hermite Polynomial. (iv) Cubic Spline Polynomial.
Find all zeros using synthetic division
Pls help
Determine the degree of the following polynomial. 4 P(x) = _5 *(x − 3)(x+8)?( −1)(x+3)3 A X
Show the polynomials given below have no integer roots. (a.) f(x) = x + 6x4 + 12x3 + 18x – 30, %3D (b.) g(x) = x5- 4x4 + 6x2 + 11x + 23