Question

f(x)=x4-4x³+1,g(x)=x³-3x²+1。求他们的最大公因式，要过程，谢谢啦

Answer 1

问：f(x)=x4-4x³+1,g(x)=x³-3x²+1。求他们的最大公因式，要过程，谢谢啦

答：您好f(x)=x4-4x³+1,g(x)=x³-3x²+1。求他们的最大公因式，r1(x) = (x - 1)g(x) - f(x) = 3x2 + x -2r2(x) = 9g(x) - (3x - 10)r1(x) = 10x - 5r3(x) = (6x + 5)r2(x) - 20r1(x) = 15所以（f（x）,g（x））=1。

答：相关资料：用辗转相除法求两者的最高公因式。下面用分离系数法。.....................................1..-1..................------------------------1 -3 0 1）1 -4 0 0 1.....................1 -3 0 1.....................-----------------............................-1 0 -1 1............................-1 3 0 -1............................--------------------..................................-3 -1 2，...........................1 -10/3.............------------------3 1 -2）3 -9 0 3................3 1 -2...............--------------......................-10 2 3.....................-10 -10/3 20/3.....................---------------------..............................16/3 -11/3，........................3.....49/16.............--------------------16 -11）48 16 -32................48 -33..............----------------------.........................49....-32.........................49...-539/16..........................----------------.................................27/16，∴f(x)与g(x)的最高公因式是1.

问：可以画成图不?

答：您好，画不了呢。