SOLUTION: Find the real zeroes of g(x)=x^3-11x^2+26x-16

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Question 821259: Find the real zeroes of g(x)=x^3-11x^2+26x-16
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Find the real zeroes of
g(x)=x^3-11x^2+26x-16 |Note: x = 1 is a root (1-11 +26- 16 )= 0
Using synthetic division: dividing by (x-1)
1 1 -11 26 -16
1 -10 16
1 -10 16 0
g(x) = (x-1)(x^2 - 10x + 16)
g(x) = (x-1)(x - 8)(x - 2)
roots are: 1, 2 , 8
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