Mathematics
Senior High
なぜ余りがこのように置けるのですか
整式P(x) を x2-2x+3で割ると余りは2x-7となり, x+2で割ると余りは11となる。
P(x) を (x2-2x+3)(x+2) で割ったときの余りを求めよ。
(P00) 老1X2-2x+3)(キス)で割ったときの余りの(x=-2x+3)+2x=7
P ( x 5c (X² - 2x + 3) (X ²42) - 157224065 tbe-crac
余りの(X=2x+3)+2xととおく
P(x)=(x)=2x+3)(x+2)Q00+α(x-2x+3)+22-7
条件よりP(-2)=11
PC-2)=a(4+4+3)-4-7
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