244255
This theorem provides an analog for polynomial s of Bézout 's identity , which provides a condition under which an integer h can be written as a sum of integer multiples of two other integers f and g : such a representation exists exactly when h is a multiple of the greatest common divisor of f and g. The AF+BG condition expresses , in terms of divisors ( sets of points , with multiplicities ) , a similar condition under which a polynomial H can be written as a sum of polynomial multiples of two other polynomials F and G. Statement of the theorem Let F , G , and H be homogeneous polynomial s in three variables , and assume that a = deg H − deg F and b = deg H − deg G are positive integers .
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Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities:  
Answer:
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