Question: Consider the function f(x) = x 5 + 4x 4 + x 3 - 10x 2 - 4x + 8, which has zeros at x

Consider the function f(x) = x⁵ + 4x⁴ + x³ - 10x² - 4x + 8, which has zeros at x = 1 and x = -2. Apply Newton’s method to this function with initial approximations of x₀ = -1, x₀ = -0.2, x₀ = 0.2, and x₀ = 2. Discuss and compare the results of the calculations.

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