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).InstructionKN-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.

Consider the given polynomial which is a fourth-degree polynomial.

- 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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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