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Question 63148: LET f(x)=x3-8x2+17x-9. USE THE FACTOR THEOREM TO FIND OTHER SOLUTIONS TO f(x)-f(1)=0,BESIDES x=1.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! LET f(x)=x^3-8x^2+17x-9. USE THE FACTOR THEOREM TO FIND OTHER SOLUTIONS TO
f(x)-f(1)=0,BESIDES x=1.
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f(1)=1-8+17-9=1
f(x)-1=x^3-8x^2+17x-10
Find the zeroes of this:
Using synthetic division find the zeroes:
1).....1....-8....17....-10
.......1....-7....10..|.0
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Then:
2).....1....-7....10
.......1....-5..|.0
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And finally:
5).....1....-5
.......1...|.0
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The zeroes are 1,2,5
The factors are (x-1),(x-2), and (x-5)
Cheers,
Stan H.
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