SOLUTION: PLEASE HELP! FIND ALL ROOTS OF THE POLYNOMIAL x3-x2+16x-16.

SOLUTION: PLEASE HELP! FIND ALL ROOTS OF THE POLYNOMIAL x3-x2+16x-16.

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Question 62846: PLEASE HELP!
FIND ALL ROOTS OF THE POLYNOMIAL x3-x2+16x-16.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
PLEASE HELP!
FIND ALL ROOTS OF THE POLYNOMIAL x3-x2+16x-16.
WE FIND F(1)=0....SO X-1 IS A FACTOR
DIVIDING WITH X-1
1|1-1+16-16
0+1+0 +16
---------------
1+0 +16+0
QUOTIENT = X^2+16 = (X+4i)(X-4i)
HENCE ALL THE ROOTS ARE
X=1,4i,-4i
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