Use Newton's method to find the roots of 2x^3−9x^2+12x+15. How do I handle the cases when x>3 and x<3.

Roselyn Daniel 2022-07-19 Answered
Use Newton's method to find the roots of
2 x 3 9 x 2 + 12 x + 15
for x = 3, x < 3, and x > 3.
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Answers (1)

neobuzdanio
Answered 2022-07-20 Author has 13 answers
Newton's method is only guaranteed to converge to a solution (that satisfies f ( x ) 0) if you start 'close enough'.
In this case the polynomial p has exactly one real root, and since p ( 1 ) = 18 , p ( 0 ) = 5, we see that it lies in ( 1 , 0 ).
Try starting at 1 2 for example.
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