derive an equation from a set of roots

the question asks me to set x as a symbolic variable then asks me to derive a equation of a polynomial with the roots x=-2 ,x=-.5, x=2, and x=4.5

Answer 1

[KSSV]

syms x 
r = [-2 , -.5 2 4.5]; % roots 
f = (x-r(1))*(x-r(2))*(x-r(3))*(x-r(4)) ;
p = expand(f)

Answer 2

[Walter Roberson]

(x-first_root) * (x-second_root) * (x-third_root) * (x-fourth_root)

[Walter Roberson]

syms x
r = [-2 , -.5 2 4.5]; % roots 
p = expand( prod(x - r) )

Answer 3

[ahmed abdellatif]

1. Derive the symbolic equation of the polynomial that has the roots x = –0.5, x = 2 and x = 4.5.

[James Tursa]

The method for doing this has already been posted above.