P1 2. It is desired to obtain the real-valued roots ofS(2) = 0, f(x) = ( - 6r-5x2 + 6r- 4V+ 10+(a). Work with y = V to get a polynomial g(y) from f(r) such that f(x) g(y)/y². Computethe roots of g(y) = 0 using the Matlab command roots(coeff).(b). Compute f(r) for each root of g(y) = 0 (r y²) and identify those roots for which f(r) = 0.This will not be the case with all roots of g(y) = 0.(c). Confirm these roots using Matlab function fzero using suitable guesses for r.

We will use basic knowledge of set theory and real-valued functions to answer the first two subparts…

2. It is desired to obtain the real-valued roots of S(2) = 0, f(z)= (x*. 8. - 6z - 5z2 + 6r - 4VT+10+ * %3D (a). Work with y V to get a polynomial g(y) from f(r) such that f(r) g(y)/v. Compute the roots of g(y) 0 using the Matlab command roots(coeff). (b). Compute f(x) for each root of g(y) = 0 (r y²) and identify those roots for which f(r) = This will not be the case with all roots of g(y) = 0. (c). Confirm these roots using Matlab function fzero using suitable guesses for r. %3D %3D %3D %3D

2. It is desired to obtain the real-valued roots of S(2) = 0, f(z)= (x. 8. - 6z - 5z2 + 6r - 4VT+10+ %3D (a). Work with y V to get a polynomial g(y) from f(r) such that f(r) g(y)/v. Compute the roots of g(y) 0 using the Matlab command roots(coeff). (b). Compute f(x) for each root of g(y) = 0 (r y²) and identify those roots for which f(r) = This will not be the case with all roots of g(y) = 0. (c). Confirm these roots using Matlab function fzero using suitable guesses for r. %3D %3D %3D %3D

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 31E

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