Is my solution for this gcd correct?

  • Thread starter Firepanda
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  • #1
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For the first part of this question:

25jxgd.pg.gif


So if everything was done correctly is -55/16 my answer?
 
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Answers and Replies

  • #2
Office_Shredder
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-55/16 is a unit, so that is the same as saying they're co-prime
 
  • #3
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Maybe I'm missing something, but I don't get where the -55/16 comes from. f(x) has no zeroes in the rationals, hence no factors with rational coefficients.

I'm not sure what F5 means, but if it represents the integers modulo 5, both f and g have a common zero, hence a common factor.
 
  • #4
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Maybe I'm missing something, but I don't get where the -55/16 comes from. f(x) has no zeroes in the rationals, hence no factors with rational coefficients.

I'm not sure what F5 means, but if it represents the integers modulo 5, both f and g have a common zero, hence a common factor.
I had my solution steps up last night but I took it down after office_shredder made the point that it means they are coprime.
 
Last edited:
  • #5
34,678
6,387
I'm still interested in where the -55/16 came from.
 
  • #6
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Last remainder of Euclidean division
 

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