求分式(X^4-6X^3-2x²+18x+23)÷(x²-8x+15)的值
问题描述:
求分式(X^4-6X^3-2x²+18x+23)÷(x²-8x+15)的值
答
(X^4-6X^3-2x²+18x+23)÷ ( x²-8x+15) = (x^2+2x-1)余(-20x+38)
即(X^4-6X^3-2x²+18x+23)=( x²-8x+15) *(x^2+2x-1)+( x²-8x+15) *(-20x+38)