Question 469092: Use the rational zero theorem to find all rational roots of the given equation.
3x^-x^-3x+1=0
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Use the rational zero theorem to find all rational roots of the given equation.
3x^-x^-3x+1=0
...
p(x)=3x^3-x^2-3x+1=0
factors of p=1:...±1
factors of q=3:....±1, ±3
possible rational roots: ±1, ±1/3
Using synthetic division to find roots
0) ..... 3....-1....-3....1
1) ..... 3......2....-1....0 (root=1)
p(x)=(x-1)(3x^2+2x-1)
p(x)=(x-1)(3x-1)(x+1)
roots: -1, 1/3, 1
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