Mathematics
Senior High
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なぜ0、-2と分かるのか教えてください。
次の多項式を[]内の式で割った時の余りを求
めよ。
x^47 -1 [2x2-2]
(解答》
余りをqx+bとおき、
(与式) = Q(x)(2x2 - 2)+ qax+b
= Q(x)・2(x+1) (x-1)+ qax +b
x=1, -1を代入して、
q+b=0,-o+b= -2 ぐー一
Q=1, b= -1
よって、余りはx-1 /
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