Fitzpatrick Polynomial Question (1 Viewer)

[invisible wing]

x^3 + 3x^2 - 2x + 1 = 0

roots are a, b and c.

find

a^2(b+c) + b^2(a+c) + c^2(a+b)


doesn't appear hard, but somehow i have no idea how to approach it (unless finding the root, or with a very complicated way that got the wrong answer...)

please help, thx!

 

[study-freak]

 

[gurmies]

a^2(b+c)+b^2(a+c)+c^2(a+b) = ab(a+b+c) + ac(a+b+c) + bc(a+b+c) - 3abc<!-- google_ad_section_end --></SPAN> =

(a+b+c)(ab+ac+bc)-3abc

 

[invisible wing]

thx guys.