Finding a root of a polynomial from the newtons method

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Reference no: EM131793775

Another method for finding a root of a polynomial P(x) is Newton's method. This method consists of taking an initial approximation Xl and constructing a tangent line to the graph of P(x) at that point.

The point x2 where this tangent line crosses the X axis is taken as the second approximation to the root.

Then another tangent line is constructed at x2, and the point x3 where this tangent line crosses the x axis is the next approximation.

The following diagram shows this process:

642_root of a polynomial.png

Reference no: EM131793775

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