SOLUTION: How can i use the rational root theorem and polynomail long division to factor the following completely? x^3+3x^2+3x+1
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Question 320799: How can i use the rational root theorem and polynomail long division to factor the following completely? x^3+3x^2+3x+1
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
From the rational roots theorem,
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So is a root and is a factor of the polynomial.
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Now use polynomial long division to find the remaining quadratic,
First term:
Subtract that product from the original polynomial to get the remainder,
Second term:
Subtract that product from the previous remainder to get the new remainder,
Final term:
Subtract that product from the previous remainder to get the new remainder,
Gather all of the terms.
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A triple root at
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