(x-1)(x^2+mx+n)=x^3-6x^2+11x-6 求m+n的值!
问题描述:
(x-1)(x^2+mx+n)=x^3-6x^2+11x-6 求m+n的值!
速度+ 解法 = 100
答
x^3-6x^2+11x-6 =x^3-x^2-5x^2+11x-6 =x^2*(x-1)-(5x^2-11x+6) =x^2*(x-1)-(x-1)(5x-6) =(x-1)(x^2-5x+6) 故:m=-5,n=6