A cubic polynomial is given by f(x) = x³-12x²9x + 220 Determine all three roots of this equation using the Newton-Raphson method. Use an initial guess of 12 to find the first root. Determine the value of a for the first iteration when finding the first root. Use other initial guesses to find the other two roots.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 82E
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Value of x after first iteration  
Smallest root  
Middle root  
Largest root
A cubic polynomial is given by
f(x) = x³-12x²9x + 220
Determine all three roots of this equation using the Newton-Raphson method. Use an initial
guess of 12 to find the first root. Determine the value of a for the first iteration when finding
the first root. Use other initial guesses to find the other two roots.
Transcribed Image Text:A cubic polynomial is given by f(x) = x³-12x²9x + 220 Determine all three roots of this equation using the Newton-Raphson method. Use an initial guess of 12 to find the first root. Determine the value of a for the first iteration when finding the first root. Use other initial guesses to find the other two roots.
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