若X^2-2X-1=0 求3X^3-8X^2+X+3.

问题描述:

若X^2-2X-1=0 求3X^3-8X^2+X+3.

X^2-2X-1=0
x^2=2x+1
3X^3-8X^2+X+3
=3x*x^2-8x^2+x+3
=3x(2x+1)-8(2x+1)+x+3
=6x^2+3x-16x-8+x+3
=6(2x+1)-12x-5
=12x+6-12x-5
=1