SOLUTION: Find all the roots of the following polynomial in the complex number system.
f(x)=x^3-8x^2+36x-80
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Question 334835: Find all the roots of the following polynomial in the complex number system.
f(x)=x^3-8x^2+36x-80
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Graphing the function, is the only real root.
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Use polynomial long division to find the remaining quadratic equation,
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First term :
Subtract this product from the original polynomial to get the remainder,
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Second term :
Subtract this product from the remainder to get the new remainder,
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Final term :
Subtract this product from the remainder to get the new remainder,
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Gather the terms,
Complete the square to get the remaining roots,
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