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Given function ?(?) = ?^4 − 2?^3 + 3?^2 − 2? + 1. a) Solve analytically...

Given function ?(?) = ?^4 − 2?^3 + 3?^2 − 2? + 1.

a) Solve analytically to find the exact roots of the equation ?(?) = 0. (Hint: ?^4 − 2?^3 + 3?^2 − 2? + 1 = (?^2 − ? + 1)^2)

b) Predict if you can find a zero of ?(?) = 0 by using Newton’s method with any real initial approximation Po.

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