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初中代数課本出版者的話中,提到这本教材的編写,取材于吉氏課本並参考法捷耶夫、索明斯基合編代数学上册(以下簡称法氏本)。 課本对多項式除法的取材和处理上,有些不妥的地方,給教师帶来很多麻煩。如課本的講述曾强調多項式除法升冪或降冪排列都可以,而后轉到举例时,对例三这个帶余式的除法,就产生了問題。显然用升冪排列与降冪排列所得的結果不会一样,这該怎样解釋呢?
In the words of junior high school algebra textbook publishers, the author mentions the preparation of this textbook, draws it from the Gazi textbooks, and refers to Fayyev and Sominsky’s algebraic books (hereinafter referred to as the “French version”). There is something wrong with the textbook’s drawing and handling of polynomial division, which brings a lot of trouble to teachers. For example, textbooks have emphasized that polynomial division can be raised to a power or a descending exponent, but when it is transferred to an example, the division of the remainder with the example 3 has a problem. Obviously, the results obtained by using the ascending or descending power arrangement will not be the same. How should this be explained?