Roots of Polynomials! (1 Viewer)

[wagig]

Hi everyone, I'm having an issue with this question;

A polynomial: has roots a, b and c
Find a polynomial with roots:
a) a+2, b+2, c+2 [I've done this]
b) a^2, b^2, c^2 [I've done this]
c) a+b, a+c, b+c [Can't do this part]


Any help would be awesome!

 

[Sy123]

 

[Kurosaki]

Hi everyone, I'm having an issue with this question;

A polynomial: has roots a, b and c
Find a polynomial with roots:
a) a+2, b+2, c+2 [I've done this]
b) a^2, b^2, c^2 [I've done this]
c) a+b, a+c, b+c [Can't do this part]


Any help would be awesome!

Look at the sum of roots. What is it? How can you manipulate that to get the roots required in c)?
Edit: Damn, Sy beat me to it.

 

[wagig]

Alright, thanks guys!