SOLUTION: If 1 is a root of the equation x^3-5x^2+17x-13=0, find the other two roots.
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Question 335219: If 1 is a root of the equation x^3-5x^2+17x-13=0, find the other two roots.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If is a root then is a factor.
Use polynomial long division to find the remaining quadratic.
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 final remainder.
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Gather the terms.
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Complete the square to find the solution to the quadratic equation,
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