SOLUTION: find all the roots: x^3-11x^2-25x-13=0

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Question 636442: find all the roots: x^3-11x^2-25x-13=0
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find all the roots: x^3-11x^2-25x-13=0
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If there's an integer root, it's -13 or 13.
Try those first.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
find all the roots:
x^3-11x^2-25x-13=0 |Note x = -1 as root: -1 -11 +25 -13 = 0
(x+1) a factor:
Using synthetic division
-1 1 -11 -25 -13
-1 12 13
1 -12 -13 0
Yields:
x^2 - 12x - 13 = 0
(x-13)(x+1) = 0
x = 13 or x = -1
x^3-11x^2-25x-13=0 = (x+1)(x+1)(x-13)
Roots are: -1, -1, 13
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