2. 展開・因数分解
1) 次数ごとの係数に注目
・展開
KADAI202:"Maxima on line で実行し、考察せよ。///////////"$
e1:(x-2)*(x-2)*(x-2);
(print(x-2),print(x-2),print(x-2))$
TS:"........................"$
MONDAI1:"e1の展開で、x^3の係数は"$
(print(x),print(x),print(x))$
coeff(expand(e1),x,3);
TS:"........................"$
MONDAI2:"e1の展開で、x^2の係数は"$
(print(x,".....,",x,"....,..",-2),print(x,".....,..",-2,",",x),print(".",-2,",",x,"....,",x))$
coeff(expand(e1),x,2);
TS:"........................"$
MONDAI3:"e1の展開で、xの係数は"$
(print(x,".....,..",-2,",..",-2),print(".",-2,",",x,"....,..",-2),print(".",-2,",..",-2,",",x))$
coeff(expand(e1),x,1);
TS:"........................"$
MONDAI4:"e1の展開で、定数項は"$
(print(".",-2),print(".",-2),print(".",-2))$
coeff(expand(e1),x,0);
TS:"........................"$
KOUSATU202:"それぞれの係数は、最初の式から直接見積ることができるか、考察せよ。"$
TS:"........................"$