Question 193433: FIND ALL ROOTS
List all possible rational zeroes of the function--- 5x^7-7x^3+12x-4
I don't know where to start.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! FIND ALL ROOTS
List all possible rational zeroes of the function--- 5x^7-7x^3+12x-4
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If p/q is a rational root of the polynomial,
p is a factor of -4 such as +/-1, +/-2, +/-4
and q is a factor of 5 such as +/-1, +/-5
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So check out +/-1. +/-2, +/-4, +/-1/5, +/-2/5, +/-4/5
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If none of these is a root, there are no rational roots.
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I do not find any rational roots.
I do find a root around x = 0.36028589....
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Cheers,
Stan H.
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