(x^4-3x^3+6x^2-10)-( x^2-3x+1)*(x^2)
= (x^4-3x^3+6x^2-10)-( x^4-3x^3+x^2)
= 5x^2-10
5x^2-10 - ( x^2-3x+1)*5
= 5x^2-10 - ( 5x^2-15x+5)
= 15x-15
所以(x^4-3x^3+6x^2-10) = ( x^2-3x+1)*(x^2+5) + 15x-15
这个解答应该可行的,这个只用到多项式乘法的应用,应该很容易明白的
(x^4-3x^3+6x^2-10)-( x^2-3x+1)*(x^2)
= (x^4-3x^3+6x^2-10)-( x^4-3x^3+x^2)
= 5x^2-10
5x^2-10 - ( x^2-3x+1)*5
= 5x^2-10 - ( 5x^2-15x+5)
= 15x-15
所以(x^4-3x^3+6x^2-10) = ( x^2-3x+1)*(x^2+5) + 15x-15
这个解答应该可行的,这个只用到多项式乘法的应用,应该很容易明白的