(4x四次方+2X三次方+5X的二次方+x+18）÷（x-1）商( ) 余( )
问题描述：
(4x四次方+2X三次方+5X的二次方+x+18）÷（x-1）商( ) 余( )
答
4x^4+2x^3+5x^2+x+18
=4x^4-4x^3+6x^3+5x^2+x+18
=4x^3(x-1)+6x^3-6x^2+11x^2+x+18
=4x^3(x-1)+6x^2(x-1)+11x^2-11x+12x+18
=4x^3(x-1)+6x^2(x-1)+11x(x-1)+12x-12+30
=4x^3(x-1)+6x^2(x-1)+11x(x-1)+12(x-1)+30
=(x-1)(4x^3+6x^2+11x+12)+30
所以商(4x^3+6x^2+11x+12)
余( 30 )
答
(4x四次方+2X三次方+5X的二次方+x+18）÷（x-1）
商(4x^3+6x^2+11x+12)
余(30)