# Find approximations to within I0_5 to all the zeros of each of the following polynomials

**Chapter 2, Problem 2**

(choose chapter or problem)

Find approximations to within I0_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 determine any complex zeros. a. /(x) = x 4 + 5x3 9x2 85x 136 b. fix) = x 4 - 2x3 - 12x2 + 16x - 40 C. fix) = X 4 + X 3 + 3x2 + 2x + 2 d. fix) = x 5 + 1 lx4 - 2lx3 - 10x2 - 21x - 5 e. /(x) = 16x4 + 88x3 + 159x2 + 76x- 240 f. fix) = x 4 - 4x2 - 3x + 5 g. fix) = x 4 - 2x3 - 4x2 + 4x + 4 h. /(x) = x 3 - 7x2 + 14x - 6

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