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- Let p(z) = 3r* + 7x² + 4x + 1. (a) Write the polynomial p(z) in the telescoping form, showing each step of the factorisation. (b) Evaluate the polynomial p(z) when r = 8 by completing the following memory table for Horner's algorithm

- Let p(z) = 3r* + 7x² + 4x + 1. (a) Write the polynomial p(z) in the telescoping form, showing each step of the factorisation. (b) Evaluate the polynomial p(z) when r = 8 by completing the following memory table for Horner's algorithm

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. Let p(a) = 3r* + 7a² + 4x + 1. %3D (a) Write the polynomial p(x) in the telescoping form, showing each step of the factorisation. (b) Evaluate the polynomial p(z) when r = 8 by completing the following memory table for Horner's algorithm (add more rows if needed). Hint: first identify N, x and the coefficients A(0), A(1),..., A(N). Instruction KN-K A(N-K) 1. S+ A(N) 2. For K = 1 to N a. S+r*S+ A(N-K) 1 (c) With no calculation, convert 30741s to base 10, and explain why your answer is correct.
Transcribed Image Text:6. Let p(a) = 3r* + 7a² + 4x + 1. %3D (a) Write the polynomial p(x) in the telescoping form, showing each step of the factorisation. (b) Evaluate the polynomial p(z) when r = 8 by completing the following memory table for Horner's algorithm (add more rows if needed). Hint: first identify N, x and the coefficients A(0), A(1),..., A(N). Instruction KN-K A(N-K) 1. S+ A(N) 2. For K = 1 to N a. S+r*S+ A(N-K) 1 (c) With no calculation, convert 30741s to base 10, and explain why your answer is correct.
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