Without actually calculating prove that 2x^4-5x^3+2x^2- x +2 is divisible by x^2-3x+2
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by factor theorem if both the factors of x^2-3x+2=0 divides the former 2x^4-5x+2x^2-x+2 then it will prove that prove that on putting x=1 and x=2 in the bigger expression will cancel or zero it . ok .
hope this helps
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