Matlab多项式创建与计算问题

matlab 如何表示f (x) = (x2 + 1)(x + 1)(x + 2) ?
题目如下:
已知多项式f (x) = (x2 + 1)(x + 1)(x + 2), g(x) = 3x + 2,
求两个多项式的和、差、乘、积、商及f (x)的导数。

希望可以不用自己化简,直接通过软件表示出多项式的标准形式并进行计算

同学你好,这个so easy

syms x f g
f = (x^2+1)*(x+1)*(x+2);
g = 3*x+2;
he = f+g
cha = f-g
cheng = f*g
ji = f*g
shang = f/g
daoshu = diff(f,x)

结果

he =
 
3*x + (x^2 + 1)*(x + 1)*(x + 2) + 2
 
 
cha =
 
(x^2 + 1)*(x + 1)*(x + 2) - 3*x - 2
 
 
cheng =
 
(3*x + 2)*(x^2 + 1)*(x + 1)*(x + 2)
 
 
ji =
 
(3*x + 2)*(x^2 + 1)*(x + 1)*(x + 2)
 
 
shang =
 
((x^2 + 1)*(x + 1)*(x + 2))/(3*x + 2)
 
 
daoshu =
 
(x^2 + 1)*(x + 1) + (x^2 + 1)*(x + 2) + 2*x*(x + 1)*(x + 2)