Finding the Greatest Common Divisor of Polynomials Over a Finite Field

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I really hated this unit in abstract algebra.

bradleykoon
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Where is the 2X+4 coming from, , explain further please.

mu
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Why don't you divide 3x+1 (or 2x+4) by the leading coefficient to get 2+x?

SSgtFSL
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why did you multiply by 4? to find the other gcd?

ugochiokehi
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what happens if I want to find GCD of polynomial over Q[x]? 

deet
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boss, i don't understand how (-x+3)-(9x+3)=0.

revolutionaryevolution
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I dont understand 2x+4, how? Where have this teorem?

moneymagnat