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Timeline for Find Integral Roots of A Polynomial

Current License: CC BY-SA 3.0

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Jun 17, 2020 at 9:04 history edited CommunityBot
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Jan 24, 2018 at 22:59 comment added Luis Mendo ... but I found a shorter alternative for the range
Jan 24, 2018 at 22:58 history edited Luis Mendo CC BY-SA 3.0
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Jan 24, 2018 at 22:44 comment added Luis Mendo @Giuseppe Thanks to both. Maybe X>t_w&:GyZQ~), but still 13 bytes
Jan 24, 2018 at 22:37 comment added Giuseppe @mathmandan that approach is three bytes longer: Try it here, although I'm sure I've missed a trick or two
Jan 24, 2018 at 21:14 comment added mathmandan As an alternative to Rouche's Theorem, the Rational Roots Theorem would also suffice to justify the bound you used. By the Rational Roots Theorem, all integer roots are bounded in absolute value by the maximum of the absolute values of the coefficients, a tighter bound than the sum. Or even tighter, by the absolute value of the "last" nonzero coefficient--i.e. the coefficient of the smallest power of x which has a nonzero coefficient. (Probably doesn't help save any bytes, just an alternative proof since the RRT is probably more familiar than Rouche to most folks.) :)
Jan 24, 2018 at 16:14 history edited Mr. Xcoder CC BY-SA 3.0
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Jan 24, 2018 at 15:30 history edited Luis Mendo CC BY-SA 3.0
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Jan 24, 2018 at 15:23 history answered Luis Mendo CC BY-SA 3.0