Question

已知 A乘以X的4次方＋B乘以X的3次方＋C乘以X的2次方＋DX＋E＝X－2的差的4次方

Answer 1

Ax^4+Bx^3+Cx^2+Dx+E=(x-2)^4

=(x^2-2x+4)(x^2-2x+4)

=x^4-2x^3+4x^2-2x^3+4x^2-8x+4x^2-8x+16

=x^4+(-2-2)x^3+(4+4+4)x^2-16x+16

=x^4-4x^3+12x^2-16x+16

A=1,B=-4,C=12,D=-16,E=16