# colag

use the rational zero theorem and descartes’ rule of signs to assist you in finding all real and imaginary roots for x^4+2^3-3x^2-4x+4=0

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1. RRT says roots are ±1,±2,±4
DRT says there are at most 2 positive and 2 negative roots

so, a little synthetic division shows that 1 and -2 are both double roots

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