Find approximations to within 105 to all the zeros of each of the following polynomials by first

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Find approximations to within 10−5 to all the zeros of each of the following polynomials by first finding the real zeros using Newton's method and then reducing to polynomials of lower degree to find out any complex zeros.

i. f (x) = x4 + 5x3 − 9x2 − 85x − 136

ii. f (x) = x4 − 2x3 − 12x2 + 16x − 40

iii. f (x) = x4 + x3 + 3x2 + 2x + 2

iv. f (x) = x5 + 11x4 − 21x3 − 10x2 − 21x − 5

v. f (x) = 16x4 + 88x3 + 159x2 + 76x − 240

vi. f (x) = x4 − 4x2 − 3x + 5

vii. f (x) = x4 − 2x3 − 4x2 + 4x + 4

viii. f (x) = x3 − 7x2 + 14x - 6

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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